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}

@book{1969international-colloquium,
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@book{1992classification-of-algebraic,
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@book{1992flips-and-abundance,
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}

@book{1996higher-dimensional,
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@book{2008curves-and-abelian,
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@article{22TalSyl,
  title = {Talbot 2022 {{Syllabus}}},
  author = {Campbell, Jonathan A and Zakharevich, Inna},
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  langid = {english},
  file = {/home/zack/Zotero/storage/I4IMUYPX/Zakharevich and Campbell - TALBOT SCISSORS CONGRUENCE AND ALGEBRAIC K-THEORY.pdf}
}

@article{ABE22,
  title = {Compactifications of Moduli of Elliptic {{K3}} Surfaces: {{Stable}} Pair and Toroidal},
  author = {Alexeev, Valery and Brunyate, Adrian and Engel, Philip},
  date = {2022},
  journaltitle = {Geom. Topol.},
  volume = {26},
  number = {8},
  pages = {3525--3588},
  issn = {1465-3060},
  doi = {10.2140/gt.2022.26.3525},
  url = {https://doi-org.biblio-proxy.uniroma3.it/10.2140/gt.2022.26.3525},
  fjournal = {Geometry \& Topology},
  mrclass = {14J10 (14J28)},
  mrnumber = {4562567}
}

@article{ABE22,
  title = {Compactifications of Moduli of Elliptic {{K3}} Surfaces: {{Stable}} Pair and Toroidal},
  author = {Alexeev, Valery and Brunyate, Adrian and Engel, Philip},
  date = {2022},
  journaltitle = {Geom. Topol.},
  volume = {26},
  number = {8},
  pages = {3525--3588},
  issn = {1465-3060},
  doi = {10.2140/gt.2022.26.3525},
  url = {https://doi-org.biblio-proxy.uniroma3.it/10.2140/gt.2022.26.3525},
  fjournal = {Geometry \& Topology},
  mrclass = {14J10 (14J28)},
  mrnumber = {4562567}
}

@article{ABE22,
  title = {Compactifications of Moduli of Elliptic {{K3}} Surfaces: Stable Pair and Toroidal},
  shorttitle = {Compactifications of Moduli of Elliptic {{K3}} Surfaces},
  author = {Alexeev, Valery and Brunyate, Adrian and Engel, Philip},
  date = {2023-03-16},
  journaltitle = {Geom. Topol.},
  volume = {26},
  number = {8},
  eprint = {2002.07127},
  eprinttype = {arxiv},
  eprintclass = {math},
  pages = {3525--3588},
  issn = {1364-0380, 1465-3060},
  doi = {10.2140/gt.2022.26.3525},
  url = {http://arxiv.org/abs/2002.07127},
  urldate = {2024-01-28},
  abstract = {We describe two geometrically meaningful compactifications of the moduli space of elliptic K3 surfaces via stable slc pairs, for two different choices of a polarizing divisor, and show that their normalizations are two different toroidal compactifications of the moduli space, one for the ramification divisor and another for the rational curve divisor. In the course of the proof, we further develop the theory of integral affine spheres with 24 singularities. We also construct moduli of rational (generalized) elliptic stable slc surfaces of types \$\{\textbackslash bf A\_n\}\$ (\$n\textbackslash ge1\$), \$\{\textbackslash bf C\_n\}\$ (\$n\textbackslash ge0\$) and \$\{\textbackslash bf E\_n\}\$ (\$n\textbackslash ge0\$).},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/zack/Downloads/Zotero_Source/Geometry & Topology/2023/Alexeev et al. - 2023 - Compactifications of moduli of elliptic K3 surface.pdf}
}

@incollection{abramovich2000complete-moduli,
  title = {Complete Moduli for Fibered Surfaces},
  booktitle = {Recent Progress in Intersection Theory ({{Bologna}}, 1997)},
  author = {Abramovich, Dan and Vistoli, Angelo},
  date = {2000},
  series = {Trends Math.},
  pages = {1--31},
  publisher = {Birkhäuser Boston},
  location = {Boston, MA},
  date-modified = {2012-12-26 19:59:11 +0000},
  mrclass = {14D22 (14A20)},
  mrnumber = {MR1849290 (2002i:14015)},
  mrreviewer = {Thierry Mignon},
  sauthor = {Abramovich, D. and Vistoli, A.}
}

@incollection{abramovich2011stable-varieties,
  title = {Stable Varieties with a Twist},
  booktitle = {Classification of Algebraic Varieties},
  author = {Abramovich, Dan and Hassett, Brendan},
  date = {2011},
  series = {{{EMS}} Ser. {{Congr}}. {{Rep}}.},
  pages = {1--38},
  publisher = {Eur. Math. Soc., Zürich},
  doi = {10.4171/007-1/1},
  url = {https://doi.org/10.4171/007-1/1},
  mrclass = {14D23 (14D22 14E30 14J10)},
  mrnumber = {2779465},
  mrreviewer = {Arvid Perego}
}

@article{abramovich2014stable,
  title = {Stable Logarithmic Maps to {{Deligne-Faltings}} Pairs {{II}}},
  author = {Abramovich, Dan and Chen, Qile},
  date = {2014},
  journaltitle = {Asian J. Math.},
  volume = {18},
  number = {3},
  pages = {465--488},
  issn = {1093-6106},
  doi = {10.4310/AJM.2014.v18.n3.a5},
  url = {https://mathscinet-ams-org.proxy-remote.galib.uga.edu/mathscinet-getitem?mr=3257836},
  date-added = {2021-02-22 13:26:46 -0500},
  date-modified = {2021-02-22 13:27:32 -0500},
  fjournal = {Asian Journal of Mathematics},
  mrclass = {14D23 (14A20 14H10 14N35)},
  mrnumber = {3257836},
  mrreviewer = {Jonathan Wise}
}

@incollection{abramovichsemi-log-canonical,
  title = {Semi Log Canonical Surfaces},
  booktitle = {Flips and Abundance for Algebraic Threefolds},
  author = {Abramovich, D. and Fong, L.-Y. and Kollár, J. and McKernan, J.},
  pages = {47--58},
  issn = {0303-1179},
  date-modified = {2012-12-26 19:59:11 +0000},
  mrclass = {14E30 (14E35 14M10)},
  mrnumber = {MR1225842 (94f:14013)},
  mrreviewer = {Mark Gross},
  optaddress = {Paris},
  optpublisher = {Société Mathématique de France},
  optyear = {1992},
  sauthor = {D. Abramovich and L.-Y. Fong and J. Kollár and J. McKernan}
}

@article{abreu1998kahler-geometry,
  title = {Kähler Geometry of Toric Varieties and Extremal Metrics},
  author = {Abreu, M.},
  date = {1998},
  journaltitle = {Internat. J. Math.},
  volume = {9},
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  pages = {641--651},
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  fjournal = {International Journal of Mathematics},
  mrclass = {58E11 (14M25 53C25 53C55 58F05)},
  mrnumber = {99j:58047},
  mrreviewer = {Hansjörg Geiges}
}

@misc{AE21,
  title = {{$<$}a Href="{{https://arxiv.org/abs/2101.12186"$>$}}{{Compact moduli of K3 surfaces}}{$<$}/A{$>$}},
  author = {Alexeev, Valery and Engel, Philip},
  date = {2021},
  url = {https://arxiv.org/abs/2101.12186}
}

@misc{AE21,
  title = {{$<$}a Href="{{https://arxiv.org/abs/2101.12186"$>$}}{{Compact moduli of K3 surfaces}}{$<$}/A{$>$}},
  author = {Alexeev, Valery and Engel, Philip},
  date = {2021},
  url = {https://arxiv.org/abs/2101.12186}
}

@online{AE22,
  title = {Compactifications of Moduli Spaces of {{K3}} Surfaces with a Nonsymplectic Involution},
  author = {Alexeev, Valery and Engel, Philip},
  date = {2023-05-12},
  eprint = {2208.10383},
  eprinttype = {arxiv},
  eprintclass = {math-ph},
  doi = {10.48550/arXiv.2208.10383},
  url = {http://arxiv.org/abs/2208.10383},
  urldate = {2024-01-28},
  abstract = {There are \$75\$ moduli spaces \$F\_S\$ of K3 surfaces with a nonsymplectic involution. We give detailed descriptions of Kulikov models for one-parameter degenerations in \$F\_S\$. In the \$50\$ cases where the fixed locus of the involution has a component \$C\_g\$ of genus \$g\textbackslash ge2\$, we identify normalizations of the KSBA compactifications of \$F\_S\$ via stable pairs \$(X,\textbackslash epsilon C\_g)\$, with explicit semitoroidal compactifications of \$F\_S\$.},
  pubstate = {preprint},
  keywords = {{14J28, 14D22},Mathematical Physics,Mathematics - Algebraic Geometry},
  file = {/home/zack/Zotero/storage/Y669J2S6/Alexeev and Engel - 2023 - Compactifications of moduli spaces of K3 surfaces .pdf}
}

@article{AE22nonsympinv,
  title = {Mirror Symmetric Compactifications of Moduli Spaces of {{K3}} Surfaces with a Nonsymplectic Involution},
  author = {Alexeev, Valery and Engel, Philip},
  date = {2022},
  url = {https://arxiv.org/abs/2208.10383}
}

@article{AE22nonsympinv,
  title = {Mirror Symmetric Compactifications of Moduli Spaces of {{K3}} Surfaces with a Nonsymplectic Involution},
  author = {Alexeev, Valery and Engel, Philip},
  date = {2022},
  url = {https://arxiv.org/abs/2208.10383}
}

@online{AE23,
  title = {Compact Moduli of {{K3}} Surfaces},
  author = {Alexeev, Valery and Engel, Philip},
  date = {2023-04-03},
  eprint = {2101.12186},
  eprinttype = {arxiv},
  eprintclass = {math},
  doi = {10.48550/arXiv.2101.12186},
  url = {http://arxiv.org/abs/2101.12186},
  urldate = {2024-01-28},
  abstract = {We construct geometric compactifications of the moduli space \$F\_\{2d\}\$ of polarized K3 surfaces, in any degree \$2d\$. Our construction is via KSBA theory, by considering canonical choices of divisor \$R\textbackslash in |nL|\$ on each polarized K3 surface \$(X,L)\textbackslash in F\_\{2d\}\$. The main new notion is that of a recognizable divisor \$R\$, a choice which can be consistently extended to all central fibers of Kulikov models. We prove that any choice of recognizable divisor leads to a semitoroidal compactification of the period space, at least up to normalization. Finally, we prove that the rational curve divisor is recognizable for all degrees.},
  pubstate = {preprint},
  keywords = {{14D22, 14J28},Mathematics - Algebraic Geometry},
  file = {/home/zack/Zotero/storage/CYBREPWZ/Alexeev and Engel - 2023 - Compact moduli of K3 surfaces.pdf}
}

@online{AEGS23,
  title = {Compact Moduli of {{Enriques}} Surfaces with a Numerical Polarization of Degree 2},
  author = {Alexeev, Valery and Engel, Philip and Garza, D. Zack and Schaffler, Luca},
  date = {2023-12-27},
  eprint = {2312.03638},
  eprinttype = {arxiv},
  eprintclass = {math},
  doi = {10.48550/arXiv.2312.03638},
  url = {http://arxiv.org/abs/2312.03638},
  urldate = {2024-04-26},
  abstract = {We describe a geometric, stable pair compactification of the moduli space of Enriques surfaces with a numerical polarization of degree 2, and identify it with a semitoroidal compactification of the period space.},
  pubstate = {preprint},
  keywords = {{14J28, 14D22},Mathematics - Algebraic Geometry},
  file = {/home/zack/Downloads/Zotero_Source/arXiv/2023/Alexeev et al. - 2023 - Compact moduli of Enriques surfaces with a numeric2.pdf}
}

@online{AEGS23a,
  title = {Compact Moduli of {{Enriques}} Surfaces with a Numerical Polarization of Degree 2},
  author = {Alexeev, Valery and Engel, Philip and Garza, D. Zack and Schaffler, Luca},
  date = {2023-12-27},
  eprint = {2312.03638},
  eprinttype = {arxiv},
  eprintclass = {math},
  doi = {10.48550/arXiv.2312.03638},
  url = {http://arxiv.org/abs/2312.03638},
  urldate = {2024-01-28},
  abstract = {We describe a geometric, stable pair compactification of the moduli space of Enriques surfaces with a numerical polarization of degree 2, and identify it with a semitoroidal compactification of the period space.},
  pubstate = {preprint},
  keywords = {{14J28, 14D22},Mathematics - Algebraic Geometry},
  file = {/home/zack/Downloads/Zotero_Source/arXiv/2023/Alexeev et al. - 2023 - Compact moduli of Enriques surfaces with a numeric.pdf}
}

@online{AEH21,
  title = {Compact Moduli of {{K3}} Surfaces with a Nonsymplectic Automorphism},
  author = {Alexeev, Valery and Engel, Philip and Han, Changho},
  date = {2022-02-15},
  eprint = {2110.13834},
  eprinttype = {arxiv},
  eprintclass = {math},
  doi = {10.48550/arXiv.2110.13834},
  url = {http://arxiv.org/abs/2110.13834},
  urldate = {2024-01-28},
  abstract = {We construct a modular compactification via stable slc pairs for the moduli spaces of K3 surfaces with a nonsymplectic group of automorphisms under the assumption that some combination of the fixed loci of automorphisms defines an effective big divisor, and prove that it is semitoroidal.},
  pubstate = {preprint},
  keywords = {{14D22, 14J28},Mathematics - Algebraic Geometry},
  file = {/home/zack/Downloads/Zotero_Source/arXiv/2022/Alexeev et al. - 2022 - Compact moduli of K3 surfaces with a nonsymplectic.pdf}
}

@unpublished{AET19,
  title = {Stable Pair Compactification of Moduli of {{K3}} Surfaces of Degree 2},
  author = {Alexeev, Valery and Engel, Philip and Thompson, Alan},
  date = {2019-04-16},
  eprint = {1903.09742},
  eprinttype = {arxiv},
  eprintclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.1903.09742},
  url = {http://arxiv.org/abs/1903.09742},
  urldate = {2022-05-30},
  abstract = {We prove that the universal family of polarized K3 surfaces of degree 2 can be extended to a flat family of stable slc pairs \$(X,\textbackslash epsilon R)\$ over the toroidal compactification associated to the Coxeter fan. One-parameter degenerations of K3 surfaces in this family are described by integral-affine structures on a sphere with 24 singularities.},
  file = {/home/zack/Downloads/Zotero_Source/arXiv/2019/Alexeev et al. - 2019 - Stable pair compactification of moduli of K3 surfa.pdf;/home/zack/Zotero/storage/AA8MUZGS/1903.html}
}

@article{AET23,
  title = {{$<$}a Href="{{https://doi.org/10.1515/crelle-2023-0011"$>$}}{{Stable pair compactification of moduli of K3 surfaces of degree 2}}{$<$}/A{$>$}},
  author = {Alexeev, Valery and Engel, Philip and Thompson, Alan},
  date = {2023},
  journaltitle = {Journal für die reine und angewandte Mathematik (Crelles Journal)},
  doi = {doi:10.1515/crelle-2023-0011},
  url = {https://doi.org/10.1515/crelle-2023-0011}
}

@article{AET23,
  title = {{$<$}a Href="{{https://doi.org/10.1515/crelle-2023-0011"$>$}}{{Stable pair compactification of moduli of K3 surfaces of degree 2}}{$<$}/A{$>$}},
  author = {Alexeev, Valery and Engel, Philip and Thompson, Alan},
  date = {2023},
  journaltitle = {Journal für die reine und angewandte Mathematik (Crelles Journal)},
  doi = {doi:10.1515/crelle-2023-0011},
  url = {https://doi.org/10.1515/crelle-2023-0011}
}

@online{AET23,
  title = {Stable Pair Compactification of Moduli of {{K3}} Surfaces of Degree 2},
  author = {Alexeev, Valery and Engel, Philip and Thompson, Alan},
  date = {2023-02-14},
  eprint = {1903.09742},
  eprinttype = {arxiv},
  eprintclass = {math},
  doi = {10.48550/arXiv.1903.09742},
  url = {http://arxiv.org/abs/1903.09742},
  urldate = {2024-01-28},
  abstract = {We prove that the universal family of polarized K3 surfaces of degree 2 can be extended to a flat family of stable slc pairs \$(X,\textbackslash epsilon R)\$ over the toroidal compactification associated to the Coxeter fan. One-parameter degenerations of K3 surfaces in this family are described by integral-affine structures on a sphere with 24 singularities.},
  pubstate = {preprint},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/zack/Downloads/Zotero_Source/arXiv/2023/Alexeev et al. - 2023 - Stable pair compactification of moduli of K3 surfa.pdf}
}

@book{akhiezer1995lie-group-actions,
  title = {Lie Group Actions in Complex Analysis},
  author = {Akhiezer, D.N.},
  date = {1995},
  series = {Aspects of Mathematics, {{E27}}},
  pages = {viii+201},
  publisher = {Friedr. Vieweg \& Sohn},
  location = {Braunschweig},
  date-modified = {2012-12-26 19:59:11 +0000},
  isbn = {3-528-06420-X},
  mrclass = {32M05 (22-02 22E10 32M10)},
  mrreviewer = {B. Gilligan},
  optmrnumber = {96g:32051}
}

@unpublished{Ale04,
  title = {Complete Moduli in the Presence of Semiabelian Group Action},
  author = {Alexeev, Valery},
  date = {2004-09-15},
  eprint = {math/9905103},
  eprinttype = {arxiv},
  publisher = {arXiv},
  doi = {10.48550/arXiv.math/9905103},
  url = {http://arxiv.org/abs/math/9905103},
  urldate = {2022-06-01},
  abstract = {I prove the existence, and describe the structure, of moduli space of pairs \$(p,\textbackslash Theta)\$ consisting of a projective variety \$P\$ with semiabelian group action and an ample Cartier divisor on it satisfying a few simple conditions. Every connected component of this moduli space is proper. A component containing a projective toric variety is described by a configuration of several polytopes, the main one of which is the secondary polytope. On the other hand, the component containing a principally polarized abelian variety provides a moduli compactification of \$A\_g\$. The main irreducible component of this compactification is described by an "infinite periodic" analog of the secondary polytope and coincides with the toroidal compactification of \$A\_g\$ for the second Voronoi decomposition.},
  keywords = {14K10,Mathematics - Algebraic Geometry},
  file = {/home/zack/Zotero/storage/4HVLXWJ5/Alexeev - 2004 - Complete moduli in the presence of semiabelian gro.pdf;/home/zack/Zotero/storage/66UDN92B/9905103.html}
}

@article{alekseev1989classification-of-del-pezzo,
  title = {Classification of Del {{Pezzo}} Surfaces with Log-Terminal Singularities of Index ≤2 and Involutions on {{K3}} Surfaces},
  author = {Alexeev, Valery and Nikulin, V. V.},
  date = {1989},
  journaltitle = {Dokl. Akad. Nauk SSSR},
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  fjournal = {Doklady Akademii Nauk SSSR},
  mrclass = {14J26 (14J05 14J17)},
  mrnumber = {MR1009466 (90h:14048)},
  mrreviewer = {I. Dolgachev}
}

@article{alexeev17ade-surfaces,
  title = {{{ADE}} Surfaces and Their Moduli},
  author = {Alexeev, Valery and Thompson, Alan},
  date = {2021},
  journaltitle = {J. Algebraic Geometry},
  volume = {30},
  pages = {331--405},
  date-modified = {2021-03-03 10:59:05 -0500}
}

@article{alexeev1987on-conditions-for-the-rationality,
  title = {On Conditions for the Rationality of Three-Folds with a Pencil of Del {{Pezzo}} Surfaces of Degree 4},
  author = {Alexeev, Valery},
  date = {1987},
  journaltitle = {Mat. Zametki},
  volume = {41},
  number = {5},
  pages = {724--730, 766},
  issn = {0025-567X},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Akademiya Nauk SSSR. Matematicheskie Zametki},
  mrclass = {14J30 (14E35 14K30)},
  mrnumber = {MR898133 (88j:14048)},
  mrreviewer = {I. Dolgachev}
}

@incollection{alexeev1988classification-of-del-pezzo,
  title = {Classification of Del {{Pezzo}} Surfaces with Log-Terminal Singularities of Index ≤2, Involutions on {{K3}} Surfaces, and Reflection Groups in {{Lobachevskiı̆}} Spaces},
  booktitle = {Lectures in Mathematics and Its Applications, {{Vol}}. 2, {{No}}. 2 ({{Russian}})},
  author = {Alexeev, Valery and Nikulin, V. V.},
  date = {1988},
  pages = {51--150},
  publisher = {Ross. Akad. Nauk V. A. Steklov Inst. Mat.},
  location = {Moscow},
  date-modified = {2012-12-26 19:59:11 +0000},
  mrclass = {14J28},
  mrnumber = {MR1787240}
}

@article{alexeev1988factor-surfaces,
  title = {Factor Surfaces of {{{\textbf{P}}}}² with Respect to a Finite Group},
  author = {Alexeev, V. and Kolpakov-Miroshnichenko, I. Ya.},
  date = {1988},
  journaltitle = {Uspekhi Mat. Nauk},
  volume = {43},
  pages = {171--172},
  issn = {0042-1316},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk},
  issue = {5(263)},
  mrclass = {14J17 (14L30)},
  mrnumber = {MR971469 (90e:14039)},
  mrreviewer = {Vasile Brînzănescu}
}

@article{alexeev1988fractional-indices,
  title = {Fractional Indices of Log Del {{Pezzo}} Surfaces},
  author = {Alexeev, Valery},
  date = {1988},
  journaltitle = {Izv. Akad. Nauk SSSR Ser. Mat.},
  volume = {52},
  number = {6},
  pages = {1288--1304, 1328},
  issn = {0373-2436},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
  mrclass = {14J26 (14J05 14J17)},
  mrnumber = {MR984220 (91a:14023)}
}

@article{alexeev1991ample-weil,
  title = {Ample {{Weil}} Divisors on {{K3}} Surfaces with {{Du Val}} Singularities},
  author = {Alexeev, Valery},
  date = {1991},
  journaltitle = {Duke Math. J.},
  volume = {64},
  number = {3},
  pages = {617--624},
  issn = {0012-7094},
  coden = {DUMJAO},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Duke Mathematical Journal},
  mrclass = {14J28 (14C20)},
  mrnumber = {MR1141287 (92k:14032)},
  mrreviewer = {Shigeyuki Kondo}
}

@incollection{alexeev1991theorems-about,
  title = {Theorems about Good Divisors on Log {{Fano}} Varieties (Case of Index {{r$>$n-2}})},
  booktitle = {Algebraic Geometry ({{Chicago}}, {{IL}}, 1989)},
  author = {Alexeev, Valery},
  date = {1991},
  series = {Lecture Notes in Math.},
  volume = {1479},
  pages = {1--9},
  publisher = {Springer},
  location = {Berlin},
  doi = {10.1007/BFb0086258},
  url = {http://dx.doi.org/10.1007/BFb0086258},
  date-modified = {2012-12-26 19:59:11 +0000},
  mrclass = {14J45},
  mrkey = {\#MR1181201\#},
  mrnumber = {1181201 (93j:14049)},
  mrreviewer = {Zhaohua Luo}
}

@incollection{alexeev1992log-canonical-surface,
  title = {Log Canonical Surface Singularities: Arithmetical Approach},
  booktitle = {Flips and Abundance for Algebraic Threefolds},
  author = {Alexeev, Valery},
  date = {1992},
  pages = {47--58},
  publisher = {Société Mathématique de France},
  location = {Paris},
  issn = {0303-1179},
  date-modified = {2012-12-26 19:59:11 +0000},
  mrclass = {14E30 (14E35 14M10)},
  mrnumber = {MR1225842 (94f:14013)},
  mrreviewer = {Mark Gross}
}

@article{alexeev1993two-two-dimensional-terminations,
  title = {Two Two-Dimensional Terminations},
  author = {Alexeev, Valery},
  date = {1993},
  journaltitle = {Duke Math. J.},
  volume = {69},
  number = {3},
  pages = {527--545},
  issn = {0012-7094},
  coden = {DUMJAO},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Duke Mathematical Journal},
  mrclass = {14E30 (14J99)},
  mrnumber = {MR1208810 (94a:14013)},
  mrreviewer = {Antonella Grassi}
}

@article{alexeev1994boundedness-and-ksp-2,
  title = {Boundedness and {{K}}² for Log Surfaces},
  author = {Alexeev, Valery},
  date = {1994},
  journaltitle = {Internat. J. Math.},
  volume = {5},
  number = {6},
  pages = {779--810},
  issn = {0129-167X},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {International Journal of Mathematics},
  mrclass = {14J10 (14J25)},
  mrnumber = {MR1298994 (95k:14048)},
  mrreviewer = {Mark Gross}
}

@article{alexeev1994general-elephants,
  title = {General Elephants of {{{\textbf{Q}}}}-{{Fano}} 3-Folds},
  author = {Alexeev, Valery},
  date = {1994},
  journaltitle = {Compositio Math.},
  volume = {91},
  number = {1},
  pages = {91--116},
  issn = {0010-437X},
  coden = {CMPMAF},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Compositio Mathematica},
  mrclass = {14E30 (14E35 14J45)},
  mrnumber = {MR1273928 (95f:14032)},
  mrreviewer = {Yujiro Kawamata}
}

@unpublished{alexeev1996log-canonical-singularities,
  title = {Log Canonical Singularities and Complete Moduli of Stable Pairs},
  author = {Alexeev, Valery},
  date = {1996},
  eprint = {alg-geom/9608013},
  eprinttype = {arxiv},
  pages = {1--13},
  date-modified = {2012-12-26 19:59:11 +0000},
  formertitle = {Alexeev96a}
}

@incollection{alexeev1996moduli-spaces,
  title = {Moduli Spaces {{M}}{\textsubscript{g,n}}({{W}}) for Surfaces},
  booktitle = {Higher-Dimensional Complex Varieties ({{Trento}}, 1994)},
  author = {Alexeev, Valery},
  date = {1996},
  pages = {1--22},
  publisher = {de Gruyter},
  location = {Berlin},
  date-modified = {2012-12-26 19:59:11 +0000},
  mrclass = {14D20 (14D22 14J10)},
  mrnumber = {MR1463171 (99b:14010)},
  mrreviewer = {Wolfgang K. Seiler}
}

@article{alexeev1999on-mumfords-construction,
  title = {On {{Mumford}}'s Construction of Degenerating Abelian Varieties},
  author = {Alexeev, Valery and Nakamura, Iku},
  date = {1999},
  journaltitle = {Tohoku Math. J. (2)},
  volume = {51},
  number = {3},
  pages = {399--420},
  issn = {0040-8735},
  coden = {TOMJAM},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {The Tohoku Mathematical Journal. Second Series},
  mrclass = {14D06 (14D22 14K25)},
  mrnumber = {MR1707764 (2001g:14013)},
  mrreviewer = {Antoine Chambert-Loir}
}

@incollection{alexeev2001on-extra-components,
  title = {On Extra Components in the Functorial Compactification of {{A}}},
  booktitle = {Moduli of Abelian Varieties ({{Texel Island}}, 1999)},
  author = {Alexeev, Valery},
  date = {2001},
  series = {Progr. {{Math}}.},
  volume = {195},
  pages = {1--9},
  publisher = {Birkhäuser},
  location = {Basel},
  date-modified = {2012-12-26 19:59:11 +0000},
  mrclass = {14K10},
  mrnumber = {MR1827015 (2002d:14070)},
  mrreviewer = {Nicolae Manolache}
}

@article{alexeev2002complete-moduli,
  title = {Complete Moduli in the Presence of Semiabelian Group Action},
  author = {Alexeev, Valery},
  date = {2002},
  journaltitle = {Ann. of Math. (2)},
  volume = {155},
  number = {3},
  pages = {611--708},
  issn = {0003-486X},
  coden = {ANMAAH},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Annals of Mathematics. Second Series},
  mrclass = {14K10 (14D20 14M25)},
  mrnumber = {2003g:14059},
  mrreviewer = {János Kollár},
  sauthor = {Alexeev, V.}
}

@article{alexeev2002degenerations-of-prym,
  title = {Degenerations of {{Prym}} Varieties},
  author = {Alexeev, Valery and Birkenhake, Christina and Hulek, Klaus},
  date = {2002},
  journaltitle = {J. Reine Angew. Math.},
  volume = {553},
  pages = {73--116},
  issn = {0075-4102},
  coden = {JRMAA8},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Journal für die Reine und Angewandte Mathematik},
  mrclass = {14H40},
  mrnumber = {MR1944808 (2003k:14033)},
  mrreviewer = {Samwel Dalalyan},
  sauthor = {Alexeev, V. and Birkenhake, Ch. and Hulek, K.}
}

@incollection{alexeev2004boundedness-of-spherical,
  title = {Boundedness of Spherical {{Fano}} Varieties},
  booktitle = {The Fano Conference},
  author = {Alexeev, Valery and Brion, Michel},
  date = {2004},
  pages = {69--80},
  publisher = {Univ. Torino, Turin},
  date-modified = {2012-12-26 19:59:11 +0000},
  mrclass = {14J45 (14M17 14M25)},
  mrnumber = {MR2112568 (2005k:14081)},
  mrreviewer = {Franz Pauer},
  sauthor = {Alexeev, V. and Brion, M.}
}

@incollection{alexeev2004bounding-singular,
  title = {Bounding Singular Surfaces of General Type},
  booktitle = {Algebra, Arithmetic and Geometry with Applications ({{West Lafayette}}, {{IN}}, 2000)},
  author = {Alexeev, Valery and Mori, Shigefumi},
  date = {2004},
  pages = {143--174},
  publisher = {Springer},
  location = {Berlin},
  date-modified = {2012-12-26 19:59:11 +0000},
  mrclass = {14J29},
  mrnumber = {2037085 (2005f:14077)},
  mrreviewer = {Sándor J. Kovács}
}

@article{alexeev2004compactified-jacobians,
  title = {Compactified {{Jacobians}} and {{Torelli}} Map},
  author = {Alexeev, Valery},
  date = {2004},
  journaltitle = {Publ. Res. Inst. Math. Sci.},
  volume = {40},
  number = {4},
  pages = {1241--1265},
  issn = {0034-5318},
  coden = {KRMPBV},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Kyoto University. Research Institute for Mathematical Sciences. Publications},
  mrclass = {14D22 (14C34)},
  mrnumber = {MR2105707 (2006a:14016)},
  mrreviewer = {Lucia Caporaso}
}

@article{alexeev2004stable-reductive1,
  title = {Stable Reductive Varieties. {{I}}. {{Affine}} Varieties},
  author = {Alexeev, Valery and Brion, Michel},
  date = {2004},
  journaltitle = {Invent. Math.},
  volume = {157},
  number = {2},
  pages = {227--274},
  issn = {0020-9910},
  coden = {INVMBH},
  date-modified = {2012-12-26 20:06:38 +0000},
  fjournal = {Inventiones Mathematicae},
  mrclass = {14L30 (20M99)},
  mrnumber = {MR2076923}
}

@article{alexeev2004stable-reductive2,
  title = {Stable Reductive Varieties. {{II}}. {{Projective}} Case},
  author = {Alexeev, Valery and Brion, Michel},
  date = {2004},
  journaltitle = {Adv. Math.},
  volume = {184},
  number = {2},
  pages = {380--408},
  issn = {0001-8708},
  coden = {ADMTA4},
  date-modified = {2012-12-26 20:06:46 +0000},
  fjournal = {Advances in Mathematics},
  mrclass = {14D22 (14E30 20G05)},
  mrnumber = {MR2054021},
  mrreviewer = {Dmitrii A. Timashëv},
  sauthor = {Alexeev, V. and Brion, M.}
}

@article{alexeev2004toric-degenerations,
  title = {Toric Degenerations of Spherical Varieties},
  author = {Alexeev, Valery and Brion, Michel},
  date = {2004},
  journaltitle = {Selecta Math. (N.S.)},
  volume = {10},
  number = {4},
  pages = {453--478},
  issn = {1022-1824},
  coden = {SMATF6},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Selecta Mathematica. New Series},
  mrclass = {14M17 (14M15 52B20)},
  mrnumber = {MR2134452},
  sauthor = {Alexeev, V. and Brion, M.}
}

@article{alexeev2005moduli-of-affine,
  title = {Moduli of Affine Schemes with Reductive Group Action},
  author = {Alexeev, Valery and Brion, Michel},
  date = {2005},
  journaltitle = {J. Algebraic Geom.},
  volume = {14},
  number = {1},
  pages = {83--117},
  issn = {1056-3911},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Journal of Algebraic Geometry},
  mrclass = {14C05 (20G05)},
  mrnumber = {MR2092127},
  sauthor = {Alexeev, V. and Brion, M.}
}

@article{alexeev2005on-k-stability-of-reductive,
  title = {On {{K-stability}} of Reductive Varieties},
  author = {Alexeev, Valery and Katzarkov, Ludmil},
  date = {2005},
  journaltitle = {Geom. Funct. Anal.},
  volume = {15},
  number = {2},
  pages = {297--310},
  issn = {1016-443X},
  coden = {GFANFB},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Geometric and Functional Analysis},
  mrclass = {32Qxx (14Jxx)},
  mrnumber = {MR2153901}
}

@book{alexeev2006del-pezzo,
  title = {Del {{Pezzo}} and {{K3}} Surfaces},
  author = {Alexeev, Valery and Nikulin, Viacheslav V.},
  date = {2006},
  series = {{{MSJ}} Memoirs},
  volume = {15},
  pages = {xvi+149},
  publisher = {Mathematical Society of Japan, Tokyo},
  doi = {10.1142/e002},
  url = {http://dx.doi.org/10.1142/e002},
  isbn = {4-931469-34-5},
  mrclass = {14J28 (14J26 14J27)},
  mrnumber = {2227002},
  mrreviewer = {I. Dolgachev}
}

@incollection{alexeev2006higher-dimensional-analogues,
  title = {Higher-Dimensional Analogues of Stable Curves},
  booktitle = {International {{Congress}} of {{Mathematicians}}. {{Vol}}. {{II}}},
  author = {Alexeev, Valery},
  date = {2006},
  pages = {515--536},
  publisher = {Eur. Math. Soc., Zürich},
  date-modified = {2012-12-26 19:59:11 +0000},
  mrclass = {14J10 (14E30 14L30)},
  mrnumber = {2275608 (2008a:14051)},
  mrreviewer = {Paul A. Hacking}
}

@article{alexeev2006stable-spherical,
  title = {Stable Spherical Varieties and Their Moduli},
  author = {Alexeev, Valery and Brion, Michel},
  date = {2006},
  journaltitle = {IMRP Int. Math. Res. Pap.},
  eprint = {arXiv math.AG/0505673},
  pages = {Art. ID 46293, 57},
  issn = {1687-3017},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {IMRP. International Mathematics Research Papers},
  mrclass = {14L30 (14D06 14D22)},
  mrnumber = {MR2268490 (2007k:14092)},
  optmrreviewer = {Dmitrii A. Timashëv},
  sauthor = {Alexeev, V. and Brion, M.}
}

@article{alexeev2007termination-of-many,
  title = {Termination of (Many) 4-Dimensional Log Flips},
  author = {Alexeev, Valery and Hacon, Christopher and Kawamata, Yujiro},
  date = {2007},
  journaltitle = {Invent. Math.},
  volume = {168},
  number = {2},
  pages = {433--448},
  issn = {0020-9910},
  coden = {INVMBH},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Inventiones Mathematicae},
  mrclass = {14E30 (14E05 14J35)},
  mrnumber = {MR2289869 (2008f:14028)},
  mrreviewer = {Gianluca Occhetta},
  sauthor = {Alexeev, V. and Hacon, C. and Kawamata, Y.}
}

@article{alexeev2008limits-of-stable,
  title = {Limits of Stable Pairs},
  author = {Alexeev, Valery},
  date = {2008},
  journaltitle = {Pure Appl. Math. Q.},
  volume = {4},
  pages = {767--783},
  issn = {1558-8599},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Pure and Applied Mathematics Quarterly},
  issue = {3, Special Issue: In honor of Fedor Bogomolov. Part 2},
  mrclass = {14E30 (14D06 14D20)},
  mrnumber = {2435844 (2009j:14020)},
  mrreviewer = {Jarosław A. Wiśniewski}
}

@article{alexeev2008moduli-of-weighted,
  title = {Moduli of Weighted Stable Maps and Their Gravitational Descendants},
  author = {Alexeev, Valery and Guy, G. Michael},
  date = {2008},
  journaltitle = {J. Inst. Math. Jussieu},
  volume = {7},
  number = {3},
  pages = {425--456},
  issn = {1474-7480},
  doi = {10.1017/S1474748008000108},
  url = {http://dx.doi.org/10.1017/S1474748008000108},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Journal of the Institute of Mathematics of Jussieu. JIMJ. Journal de l'Institut de Mathématiques de Jussieu},
  mrclass = {14N35 (14D20)},
  mrnumber = {2427420 (2009f:14112)},
  mrreviewer = {Hsian-Hua Tseng}
}

@incollection{alexeev2008nef-divisors,
  title = {Nef Divisors on {{M̅}}{\textsubscript{0,n}} from {{GIT}}},
  booktitle = {Geometry and Arithmetic},
  author = {Alexeev, Valery and Swinarski, David},
  date = {2012},
  series = {{{EMS}} Ser. {{Congr}}. {{Rep}}.},
  pages = {1--21},
  publisher = {Eur. Math. Soc., Zürich},
  doi = {10.4171/119-1/1},
  url = {http://dx.doi.org/10.4171/119-1/1},
  mrclass = {14L24 (14H10)},
  mrnumber = {2987650},
  mrreviewer = {Scott R. Nollet}
}

@unpublished{alexeev2008weighted-stable,
  title = {Weighted Stable Hyperplane Arrangements},
  author = {Alexeev, Valery},
  date = {2008},
  eprint = {0806.0881},
  eprinttype = {arxiv},
  date-modified = {2012-12-26 19:59:11 +0000}
}

@article{alexeev2009explicit-compactifications,
  title = {Explicit Compactifications of Moduli Spaces of {{Campedelli}} and {{Burniat}} Surfaces},
  author = {Alexeev, Valery and Pardini, Rita},
  date = {2023},
  journaltitle = {Preprint}
}

@article{alexeev2010complete-moduli,
  title = {Complete Moduli Spaces of Branchvarieties},
  author = {Alexeev, Valery and Knutson, Allen},
  date = {2010},
  journaltitle = {J. Reine Angew. Math.},
  volume = {639},
  pages = {39--71},
  issn = {0075-4102},
  doi = {10.1515/CRELLE.2010.010},
  url = {http://dx.doi.org/10.1515/CRELLE.2010.010},
  coden = {JRMAA8},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Journal für die Reine und Angewandte Mathematik. [Crelle's Journal]},
  mrclass = {14D20 (14C05)},
  mrnumber = {2608190}
}

@article{alexeev2011extended-torelli,
  title = {Extended {{Torelli}} Map to the {{Igusa}} Blowup in Genus 6, 7, and 8},
  author = {Alexeev, Valery and Livingston, Ryan and al. Tenini, Joe, et},
  date = {2011},
  journaltitle = {Experimental Math., to appear},
  pages = {1--14},
  date-modified = {2012-12-26 19:59:11 +0000}
}

@article{alexeev2011extending-torelli,
  title = {Extending the {{Torelli}} Map to Toroidal Compactifications of {{Siegel}} Space},
  author = {Alexeev, Valery and Brunyate, Adrian},
  date = {2012},
  journaltitle = {Invent. Math.},
  volume = {188},
  number = {1},
  pages = {175--196},
  issn = {0020-9910},
  doi = {10.1007/s00222-011-0347-2},
  url = {http://dx.doi.org/10.1007/s00222-011-0347-2},
  coden = {INVMBH},
  fjournal = {Inventiones Mathematicae},
  mrclass = {14C34 (14D20 14D22 14K10 14M27)},
  mrnumber = {2897696},
  mrreviewer = {Arvid Siqveland}
}

@article{alexeev2012non-normal-abelian,
  title = {Non-Normal Abelian Covers},
  author = {Alexeev, Valery and Pardini, Rita},
  date = {2012},
  journaltitle = {Compos. Math.},
  volume = {148},
  number = {4},
  pages = {1051--1084},
  issn = {0010-437X},
  doi = {10.1112/S0010437X11007482},
  url = {http://dx.doi.org/10.1112/S0010437X11007482},
  fjournal = {Compositio Mathematica},
  mrclass = {14E20 (14J17)},
  mrnumber = {2956036},
  mrreviewer = {Christian Liedtke}
}

@article{alexeev2012non-rational-centers,
  title = {Non-Rational Centers of Log Canonical Singularities},
  author = {Alexeev, Valery and Hacon, Christopher D.},
  date = {2012},
  journaltitle = {J. Algebra},
  volume = {369},
  pages = {1--15},
  issn = {0021-8693},
  doi = {10.1016/j.jalgebra.2012.06.015},
  url = {http://dx.doi.org/10.1016/j.jalgebra.2012.06.015},
  coden = {JALGA4},
  fjournal = {Journal of Algebra},
  mrclass = {14B05 (14E30)},
  mrnumber = {2959783},
  mrreviewer = {Daniel Greb}
}

@article{alexeev2012on-the-existence,
  title = {On the Existence of Ramified Abelian Covers},
  author = {Alexeev, Valery and Pardini, Rita},
  date = {2013},
  journaltitle = {Rend. Sem. Mat. Univ. Politec. Torino},
  volume = {71},
  number = {3-4},
  pages = {307--315}
}

@article{alexeev2013derived-categories,
  title = {Derived Categories of {{Burniat}} Surfaces and Exceptional Collections},
  author = {Alexeev, Valery and Orlov, Dmitri},
  date = {2013},
  journaltitle = {Math. Ann.},
  volume = {357},
  number = {2},
  pages = {743--759},
  issn = {0025-5831},
  doi = {10.1007/s00208-013-0917-2},
  url = {http://dx.doi.org/10.1007/s00208-013-0917-2},
  fjournal = {Mathematische Annalen},
  mrclass = {14F05 (14J29)},
  mrnumber = {3096524},
  mrreviewer = {Carlo Giovanni Madonna}
}

@article{alexeev2014divisors-on-burniat,
  title = {Divisors on {{Burniat}} Surfaces},
  author = {Alexeev, Valery},
  date = {2014},
  journaltitle = {Advanced Studies in Pure Mathematics, to appear}
}

@article{alexeev2014higher-level,
  title = {Higher-Level {{sl₂}} Conformal Blocks Divisors on {{M̅}}{\textsubscript{0,n}}},
  author = {Alexeev, Valery and Gibney, Angela and Swinarski, David},
  date = {2014},
  journaltitle = {Proc. Edinb. Math. Soc. (2)},
  volume = {57},
  number = {1},
  pages = {7--30},
  issn = {0013-0915},
  doi = {10.1017/S0013091513000941},
  url = {http://dx.doi.org/10.1017/S0013091513000941},
  fjournal = {Proceedings of the Edinburgh Mathematical Society. Series II},
  mrclass = {14D21 (14D23 14E30)},
  mrnumber = {3165010},
  mrreviewer = {Zhenbo Qin}
}

@article{alexeev2014on-the-log-discrepancies,
  title = {On the Log Discrepancies in Toric {{Mori}} Contractions},
  author = {Alexeev, Valery and Borisov, Alexander},
  date = {2014},
  journaltitle = {Proc. Amer. Math. Soc.},
  volume = {142},
  number = {11},
  pages = {3687--3694},
  issn = {0002-9939},
  doi = {10.1090/S0002-9939-2014-12159-9},
  url = {http://dx.doi.org/10.1090/S0002-9939-2014-12159-9},
  fjournal = {Proceedings of the American Mathematical Society},
  mrclass = {14E30 (14M25)},
  mrnumber = {3251710},
  mrreviewer = {Yifei Chen}
}

@article{alexeev2015modular-compactification,
  title = {Modular Compactification of Moduli of {{K3}} Surfaces of Degree 2},
  author = {Alexeev, Valery and Thompson, Alan},
  date = {2015},
  journaltitle = {Preprint}
}

@book{alexeev2015moduli-weighted,
  title = {Moduli of Weighted Hyperplane Arrangements},
  author = {Alexeev, Valery},
  date = {2015},
  series = {Advanced Courses in Mathematics. {{CRM}} Barcelona},
  pages = {vii+104},
  publisher = {Birkhäuser/Springer, Basel},
  doi = {10.1007/978-3-0348-0915-3},
  url = {https://doi.org/10.1007/978-3-0348-0915-3},
  isbn = {978-3-0348-0914-6 978-3-0348-0915-3},
  mrclass = {14D20 (14L24 14M25 14N20 32S22 52B40)},
  mrnumber = {3380944},
  mrreviewer = {I. Dolgachev}
}

@article{alexeev2016open-surfaces,
  title = {Open Surfaces of Small Volume},
  author = {Alexeev, Valery and Liu, Wenfei},
  date = {2016},
  journaltitle = {Algebraic Geometry, to appear}
}

@misc{alexeev2018check-slope,
  title = {Sage Programs for Checking Computations for the Slope of {{A}}₆},
  author = {Alexeev, Valery},
  date = {2018}
}

@article{alexeev2019accumulation-points,
  title = {On Accumulation Points of Volumes of Log Surfaces},
  author = {Alexeev, Valery and Liu, Wenfei},
  date = {2019},
  journaltitle = {Izv. RAN Seriya Mat.},
  volume = {83},
  number = {4},
  pages = {5--25}
}

@article{alexeev2019log-surfaces,
  title = {Log Surfaces of {{Picard}} Rank One from Four Lines in the Plane},
  author = {Alexeev, Valery and Liu, Wenfei},
  date = {2019},
  journaltitle = {Eur. J. Math.},
  volume = {5},
  number = {3},
  pages = {622--639},
  issn = {2199-675X},
  doi = {10.1007/s40879-019-00347-2},
  url = {https://doi.org/10.1007/s40879-019-00347-2},
  fjournal = {European Journal of Mathematics},
  mrclass = {14J29 (14J26 14R05)},
  mrnumber = {3993254}
}

@article{alexeev2019open-surfaces,
  title = {Open Surfaces of Small Volume},
  author = {Alexeev, Valery and Liu, Wenfei},
  date = {2019},
  journaltitle = {Algebr. Geom.},
  volume = {6},
  number = {3},
  pages = {312--327},
  issn = {2313-1691},
  doi = {10.14231/AG-2019-015},
  url = {https://doi.org/10.14231/AG-2019-015},
  fjournal = {Algebraic Geometry},
  mrclass = {14J29},
  mrnumber = {3938621},
  mrreviewer = {Lei Zhang}
}

@article{alexeev2020compactifications-moduli,
  title = {Compactifications of Moduli of Elliptic {{K3}} Surfaces: Stable Pair and Toroidal},
  author = {Alexeev, Valery and Brunyate, Adrian and Engel, Philip},
  date = {2022},
  journaltitle = {Geom. and Topology},
  volume = {26},
  number = {8},
  pages = {3525--3588}
}

@article{alexeev2020the-uniformization,
  title = {The Uniformization of the Moduli Space of Principally Polarized Abelian 6-Folds},
  author = {Alexeev, Valery and Donagi, Ron and Farkas, Gavril and Izadi, Elham and Ortega, Angela},
  date = {2020},
  journaltitle = {J. Reine Angew. Math.},
  volume = {761},
  pages = {163--217},
  issn = {0075-4102},
  doi = {10.1515/crelle-2018-0005},
  url = {https://doi.org/10.1515/crelle-2018-0005},
  fjournal = {Journal für die Reine und Angewandte Mathematik. [Crelle's Journal]},
  mrclass = {14K10 (14H40)},
  mrnumber = {4080248}
}

@article{alexeev2021hodge-classes,
  title = {Hodge Classes on the Moduli Space of {{W}}({{E}}₆)-Covers and the Geometry of {{A}}₆},
  author = {Alexeev, Valery and Donagi, Ron and Farkas, Gavril and Izadi, Elham and Ortega, Angela},
  date = {2021},
  journaltitle = {Submitted}
}

@article{alexeev2021nonsymplectic,
  title = {Complete Moduli of {{K3}} Surfaces with a Nonsymplectic Automorphism},
  author = {Alexeev, Valery and Engel, Philip and Han, Changho},
  date = {2021},
  journaltitle = {Trans. Amer. Math. Soc., to appear}
}

@article{alexeev2022compactifications-moduli,
  title = {Compactifications of Moduli of Elliptic {{K3}} Surfaces: {{Stable}} Pair and Toroidal},
  author = {Alexeev, Valery and Brunyate, Adrian and Engel, Philip},
  date = {2022},
  journaltitle = {Geom. Topol.},
  volume = {26},
  number = {8},
  pages = {3525--3588},
  issn = {1465-3060},
  doi = {10.2140/gt.2022.26.3525},
  url = {https://doi.org/10.2140/gt.2022.26.3525},
  fjournal = {Geometry \& Topology},
  mrclass = {14J10 (14J28)},
  mrnumber = {4562567}
}

@unpublished{alexeev2022mirror-symmetric,
  title = {Compactifications of Moduli Spaces of {{K3}} Surfaces with a Nonsymplectic Involution},
  author = {Alexeev, Valery and Engel, Philip},
  date = {2022},
  eprint = {2208.10383},
  eprinttype = {arxiv}
}

@article{alexeev2023compact,
  title = {Compact Moduli of {{K3}} Surfaces},
  author = {Alexeev, Valery and Engel, Philip},
  date = {2023},
  journaltitle = {Ann. of Math. (2)},
  volume = {198},
  number = {2},
  pages = {727--789},
  issn = {0003-486X,1939-8980},
  doi = {10.4007/annals.2023.198.2.5},
  url = {https://doi.org/10.4007/annals.2023.198.2.5},
  fjournal = {Annals of Mathematics. Second Series},
  mrclass = {14D22 (14J28)},
  mrnumber = {4635303}
}

@article{alexeev2023explicit-compactifications,
  title = {Explicit Compactifications of Moduli Spaces of Secondary {{Burniat}} Surfaces},
  author = {Alexeev, Valery and Hu, Xiaoyan},
  date = {2023},
  journaltitle = {Preprint}
}

@article{alexeev2023flex-divisor,
  title = {The Flex Divisor of a {{K3}} Surface},
  author = {Alexeev, Valery and Engel, Philip},
  date = {2023},
  journaltitle = {Int. Math. Res. Not. IMRN},
  number = {10},
  pages = {8356--8370},
  issn = {1073-7928,1687-0247},
  doi = {10.1093/imrn/rnac089},
  url = {https://doi.org/10.1093/imrn/rnac089},
  fjournal = {International Mathematics Research Notices. IMRN},
  mrclass = {14J28 (14J10)},
  mrnumber = {4589075}
}

@article{alexeev2023mmm-classes,
  title = {{{MMM}} Classes on {{KSBA}} Spaces},
  author = {Alexeev, Valery},
  date = {2023},
  journaltitle = {in preparation}
}

@article{alexeev2023stable-pair,
  title = {Stable Pair Compactification of Moduli of {{K3}} Surfaces of Degree 2},
  author = {Alexeev, Valery and Engel, Philip and Thompson, Alan},
  date = {2023},
  journaltitle = {J. Reine Angew. Math.},
  volume = {799},
  pages = {1--56},
  issn = {0075-4102,1435-5345},
  doi = {10.1515/crelle-2023-0011},
  url = {https://doi.org/10.1515/crelle-2023-0011},
  fjournal = {Journal für die Reine und Angewandte Mathematik. [Crelle's Journal]},
  mrclass = {14J10 (14J28)},
  mrnumber = {4595306}
}

@article{alexeevon-the-structure-of-the-functorial,
  title = {On the Structure of the Functorial Compactification of Moduli of Abelian Varieties of Dimension 4},
  author = {Alexeev, V. and Erdahl, R.},
  journaltitle = {in preparation},
  date-modified = {2012-12-26 19:59:11 +0000}
}

@book{altman1970introduction-to-grothendieck,
  title = {Introduction to {{Grothendieck}} Duality Theory},
  author = {Altman, Allen and Kleiman, Steven},
  date = {1970},
  series = {Lecture Notes in Mathematics, Vol. 146},
  pages = {ii+185},
  publisher = {Springer-Verlag},
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  date-modified = {2012-12-26 19:59:11 +0000},
  mrclass = {14.55},
  mrnumber = {0274461 (43 \#224)},
  mrreviewer = {Y. Nakai}
}

@article{altman1976irreducibility-of-the-compactified,
  title = {Irreducibility of the Compactified Jacobian},
  author = {Altman, A. and Iarrobino, A. and Kleiman, S.},
  date = {1976},
  journaltitle = {Proc. 9th north nordic summer school, Oslo},
  pages = {1--12},
  date-modified = {2012-12-26 19:59:11 +0000}
}

@article{altman1979compactifying-the-picard,
  title = {Compactifying the {{Picard}} Scheme {{II}}},
  author = {Altman, A. and Kleiman, S.},
  date = {1979},
  journaltitle = {Amer. J. Math.},
  volume = {101},
  pages = {10--41},
  date-modified = {2012-12-26 19:59:11 +0000}
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@article{altman1980compactifying-the-picard,
  title = {Compactifying the {{Picard}} Scheme},
  author = {Altman, A. and Kleiman, S.},
  date = {1980},
  journaltitle = {ADVAM},
  volume = {35},
  pages = {50--112},
  date-modified = {2012-12-26 19:59:11 +0000}
}

@misc{ambro1998the-locus-of-log-canonical,
  title = {The Locus of Log Canonical Singularities},
  author = {Ambro, F.},
  date = {1998},
  date-modified = {2012-12-26 19:59:11 +0000}
}

@article{ambro2003quasi-log-varieties,
  title = {Quasi-Log Varieties},
  author = {Ambro, F.},
  date = {2003},
  journaltitle = {Tr. Mat. Inst. Steklova},
  volume = {240},
  pages = {220--239},
  issn = {0371-9685},
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  fjournal = {Trudy Matematicheskogo Instituta Imeni V. A. Steklova. Rossiı̆skaya Akademiya Nauk},
  issue = {Biratsion. Geom. Linein. Sist. Konechno Porozhdennye Algebry},
  mrclass = {14E30 (14J10)},
  mrnumber = {MR1993751 (2004f:14027)},
  mrreviewer = {Tomasz Szemberg}
}

@book{AMRT75,
  title = {Smooth Compactification of Locally Symmetric Varieties},
  author = {Ash, A. and Mumford, D. and Rapoport, M. and Tai, Y.},
  date = {1975},
  series = {Lie Groups: {{History}}, Frontiers and Applications, Vol. {{IV}}},
  pages = {iv+335},
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  mrnumber = {0457437},
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@book{AMRT75,
  title = {Smooth Compactification of Locally Symmetric Varieties},
  author = {Ash, A. and Mumford, D. and Rapoport, M. and Tai, Y.},
  date = {1975},
  series = {Lie Groups: {{History}}, Frontiers and Applications, Vol. {{IV}}},
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  mrnumber = {0457437},
  mrreviewer = {Ichiro Satake}
}

@book{AN06,
  title = {{$<$}a Href="{{https://www.worldscientific.com/doi/abs/10.1142/e002"$>$}}{{Del Pezzo and K3 Surfaces}}{$<$}/A{$>$}},
  author = {Alexeev, Valery and Nikulin, Viacheslav V},
  date = {2006},
  eprint = {https://www.worldscientific.com/doi/pdf/10.1142/e002},
  doi = {10.1142/e002},
  url = {https://www.worldscientific.com/doi/abs/10.1142/e002}
}

@book{AN06,
  title = {{$<$}a Href="{{https://www.worldscientific.com/doi/abs/10.1142/e002"$>$}}{{Del Pezzo and K3 Surfaces}}{$<$}/A{$>$}},
  author = {Alexeev, Valery and Nikulin, Viacheslav V},
  date = {2006},
  eprint = {https://www.worldscientific.com/doi/pdf/10.1142/e002},
  doi = {10.1142/e002},
  url = {https://www.worldscientific.com/doi/abs/10.1142/e002}
}

@book{AN06a,
  title = {Del {{Pezzo}} and {{K3 Surfaces}}},
  author = {Alexeev, Valery and Nikulin, Viacheslav V.},
  date = {2006},
  series = {Mathematical {{Society}} of {{Japan Memoirs}}},
  number = {Volume 15},
  publisher = {The Mathematical Society of Japan},
  location = {Tokyo, Japan},
  doi = {10.2969/msjmemoirs/015010000},
  url = {http://projecteuclid.org/euclid.msjm/1418310898},
  urldate = {2024-03-28},
  isbn = {978-4-931469-34-1},
  langid = {english},
  file = {/home/zack/Zotero/storage/GR7LS33F/[Mathematical Society of Japan Memoirs, 15] Valery Alexeev, Viacheslav V. Nikulin - Del Pezzo and K3 Surfaces (2006, The Mathematical Society of Japan) - libgen.li.pdf}
}

@book{arbarello1985geometry-of-algebraic,
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@article{arbarello1996combinatorial,
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}

@article{arbarello1998calculating-cohomology,
  title = {Calculating Cohomology Groups of Moduli Spaces of Curves via Algebraic Geometry},
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  fjournal = {Institut des Hautes Études Scientifiques. Publications Mathématiques},
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}

@book{archdeacon1980a-kuratowski-theorem,
  title = {A {{Kuratowski}} Theorem for the Projective Plane},
  author = {Archdeacon, Dan Steven},
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@article{archdeacon1981a-kuratowski-theorem,
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}

@book{armitage2006elliptic-functions,
  title = {Elliptic Functions},
  author = {Armitage, J. V. and Eberlein, W. F.},
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@article{armstrong2016singularities-AgP,
  title = {The Singularities of {{A}}{\textsubscript{g}}{{{\textsuperscript{P}}}}},
  author = {Armstrong, J. and Shepherd-Barron, N. I.},
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@article{arnold1972normal-forms,
  title = {Normal Forms of Functions near Degenerate Critical Points, the {{Weyl}} Groups {{Aₖ}},{{Dₖ}},{{Eₖ}} and {{Lagrangian}} Singularities},
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@article{artebani2008non-symplectic,
  title = {Non-Symplectic Automorphisms of Order 3 on {{K3}} Surfaces},
  author = {Artebani, Michela and Sarti, Alessandra},
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@article{artebani2011k3-surfaces,
  title = {K3 Surfaces with Non-Symplectic Automorphisms of Prime Order},
  author = {Artebani, Michela and Sarti, Alessandra and Taki, Shingo},
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@article{artebani2015symmetries,
  title = {Symmetries of Order Four on {{K3}} Surfaces},
  author = {Artebani, Michela and Sarti, Alessandra},
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  mrnumber = {3340184},
  mrreviewer = {Grzegorz Kapustka}
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@article{artin1962some-numerical,
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@article{artin1966on-isolated-rational,
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@incollection{artin1969algebraization-of-formal,
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@unpublished{AT17,
  title = {{{ADE}} Surfaces and Their Moduli},
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  doi = {10.48550/arXiv.1712.07932},
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  urldate = {2022-05-30},
  abstract = {We define a class of surfaces corresponding to the ADE root lattices and construct compactifications of their moduli spaces as quotients of projective varieties for Coxeter fans, generalizing Losev-Manin spaces of curves. We exhibit modular families over these moduli spaces, which extend to families of stable pairs over the compactifications. One simple application is a geometric compactification of the moduli of rational elliptic surfaces that is a finite quotient of a projective toric variety.},
  file = {/home/zack/Zotero/storage/WAR8QI3Q/Alexeev and Thompson - 2019 - ADE surfaces and their moduli.pdf;/home/zack/Zotero/storage/MDS2NR9Q/1712.html}
}

@article{AT21,
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@article{AT21,
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  author = {Alexeev, Valery and Thompson, Alan},
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@online{AT21,
  title = {{{ADE}} Surfaces and Their Moduli},
  author = {Alexeev, Valery and Thompson, Alan},
  date = {2019-10-06},
  eprint = {1712.07932},
  eprinttype = {arxiv},
  eprintclass = {math},
  doi = {10.48550/arXiv.1712.07932},
  url = {http://arxiv.org/abs/1712.07932},
  urldate = {2024-01-28},
  abstract = {We define a class of surfaces corresponding to the ADE root lattices and construct compactifications of their moduli spaces as quotients of projective varieties for Coxeter fans, generalizing Losev-Manin spaces of curves. We exhibit modular families over these moduli spaces, which extend to families of stable pairs over the compactifications. One simple application is a geometric compactification of the moduli of rational elliptic surfaces that is a finite quotient of a projective toric variety.},
  pubstate = {preprint},
  keywords = {14H10,Mathematics - Algebraic Geometry,Mathematics - Representation Theory},
  file = {/home/zack/Zotero/storage/7NE96F7T/Alexeev and Thompson - 2019 - ADE surfaces and their moduli.pdf}
}

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@article{BB66,
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  file = {/home/zack/Zotero/storage/N9MWUSMY/Baily and Borel - 1966 - Compactification of Arithmetic Quotients of Bounde.pdf}
}

@article{beauville1977prym-varieties,
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}

@article{beauville1977variete-de-prym,
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}

@incollection{beauville1985application-aux-espaces,
  title = {Application Aux Espaces de Modules},
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  author = {Beauville, Arnaud},
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  number = {126},
  pages = {141--152},
  issn = {0303-1179},
  fjournal = {Astérisque},
  mrclass = {32J15 (14J15 14J28 32G13)},
  mrnumber = {785231}
}

@article{beauville1985la-variete-des-droites,
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  author = {Beauville, Arnaud and Donagi, Ron},
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  coden = {CASMEI},
  fjournal = {Comptes Rendus des Séances de l'Académie des Sciences. Série I. Mathématique},
  mrclass = {14J35 (14C30)},
  mrnumber = {818549 (87c:14047)},
  mrreviewer = {Fabio Bardelli}
}

@book{beauville1996complex-algebraic,
  title = {Complex Algebraic Surfaces},
  author = {Beauville, Arnaud},
  date = {1996},
  series = {London Mathematical Society Student Texts},
  edition = {2},
  volume = {34},
  pages = {x+132},
  publisher = {Cambridge University Press, Cambridge},
  doi = {10.1017/CBO9780511623936},
  url = {https://doi.org/10.1017/CBO9780511623936},
  isbn = {0-521-49510-5 0-521-49842-2},
  mrclass = {14Jxx (14-02)},
  mrnumber = {1406314}
}

@article{beauville1997counting,
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  number = {1},
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  doi = {10.1215/S0012-7094-99-09704-1},
  url = {https://mathscinet-ams-org.proxy-remote.galib.uga.edu/mathscinet-getitem?mr=1682284},
  date-added = {2021-02-22 13:39:26 -0500},
  date-modified = {2021-02-22 13:39:45 -0500},
  fjournal = {Duke Mathematical Journal},
  mrclass = {14N10 (11F23 14H40 14J28)},
  mrnumber = {1682284},
  mrreviewer = {Jim A. Bryan}
}

@article{behrend1996stacks-of-stable,
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  journaltitle = {Duke Math. J.},
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  number = {1},
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  coden = {DUMJAO},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Duke Mathematical Journal},
  mrclass = {14D20 (14C25 14D22)},
  mrnumber = {MR1412436 (98i:14014)},
  mrreviewer = {Barbara Fantechi}
}

@article{behrend1997intrinsic,
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  date = {1997},
  journaltitle = {Inventiones mathematicae},
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  number = {1},
  pages = {45--88},
  publisher = {Springer},
  date-added = {2021-01-26 22:57:25 +0000},
  date-modified = {2021-01-26 22:57:25 +0000}
}

@article{beilinson1986the-mumford-form,
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@article{benveniste1983sur-lanneau-canonique,
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@article{bermond1983shortest-coverings,
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  mrnumber = {735197 (86a:05078)},
  mrreviewer = {H. Joseph Straight}
}

@article{bertin1967anneaux-dinvariants,
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  sauthor = {Bertin, M.J.}
}

@unpublished{BGN21,
  title = {The Standard Realizations for the {{K-theory}} of Varieties},
  author = {Braunling, Oliver and Groechenig, Michael and Nanavaty, Anubhav},
  date = {2021-07-02},
  eprint = {2107.01168},
  eprinttype = {arxiv},
  eprintclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.2107.01168},
  url = {http://arxiv.org/abs/2107.01168},
  urldate = {2022-06-06},
  abstract = {The Grothendieck ring of varieties has well-known realization maps to, say, mixed Hodge structures or compactly supported \$\textbackslash ell\$-adic cohomology. Zakharevich and\textbackslash{} Campbell have developed \{a spectral refinement\} of the Grothendieck ring of varieties. We develop a realization map to Voevodsky mixed motives, and this lifts the standard realizations of motives to this setting, at least over perfect fields which have resolution of singularities.},
  file = {/home/zack/Downloads/Zotero_Source/arXiv/2021/Braunling et al. - 2021 - The standard realizations for the K-theory of vari.pdf;/home/zack/Zotero/storage/GI743U64/2107.html}
}

@incollection{BGSV90,
  title = {Aomoto {{Dilogarithms}}, {{Mixed Hodge Structures}} and {{Motivic Cohomology}} of {{Pairs}} of {{Triangles}} on the {{Plane}}},
  booktitle = {The {{Grothendieck Festschrift}}: {{A Collection}} of {{Articles Written}} in {{Honor}} of the 60th {{Birthday}} of {{Alexander Grothendieck}}},
  author = {Beilinson, A. A. and Goncharov, A. B. and Schechtman, V. V. and Varchenko, A. N.},
  editor = {Cartier, Pierre and Illusie, Luc and Katz, Nicholas M. and Laumon, Gérard and Manin, Yuri I. and Ribet, Kenneth A.},
  date = {2007},
  series = {Progress in {{Mathematics}}},
  pages = {135--172},
  publisher = {Birkhäuser},
  location = {Boston, MA},
  doi = {10.1007/978-0-8176-4574-8_6},
  url = {https://doi.org/10.1007/978-0-8176-4574-8_6},
  urldate = {2022-06-07},
  abstract = {It is known that a group of linear combinations of polytopes in R3 considered up to movements with respect to cutting of polytopes may be embedded into ℝ ⊗ ℝ/2πℤ ⊕ ℝ; this embedding assigns to a polytope its Dehn invariant and volume [C]. The study of motivic cohomology of a projective plane with two distinguished families of projective lines leads to an analogous problem: to describe a group of linear combinations of pairs of triangles on a plane considered up to the action of PGL(3), with respect to a cutting of any triangle of a pair. It turns out that this group is isomorphic up to 12—torsion to B2 ⊕ S2B1, where S2B1 is the symmetric square of the multiplicative group of a ground field, and B2 — the Bloch group of this field. This is the first main result of the paper (see Theorems 2.12, 3.8 and 3.6.2).},
  isbn = {978-0-8176-4574-8},
  langid = {english},
  keywords = {Admissible Pair,Canonical Isomorphism,Free Abelian Group,Hodge Structure,Hopf Algebra},
  file = {/home/zack/Downloads/Zotero_Source/Birkhäuser/2007/Beilinson et al. - 2007 - Aomoto Dilogarithms, Mixed Hodge Structures and Mo.pdf}
}

@book{BHPV04,
  title = {Compact Complex Surfaces},
  author = {Barth, Wolf P. and Hulek, Klaus and Peters, Chris A. M. and Van de Ven, Antonius},
  date = {2004},
  series = {Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. {{Folge}}. {{A}} Series of Modern Surveys in Mathematics [{{Results}} in Mathematics and Related Areas. 3rd Series. {{A}} Series of Modern Surveys in Mathematics]},
  edition = {2},
  volume = {4},
  pages = {xii+436},
  publisher = {Springer-Verlag, Berlin},
  doi = {10.1007/978-3-642-57739-0},
  isbn = {3-540-00832-2},
  mrclass = {14Jxx (14-02 32-02 32J15 57R57)},
  mrnumber = {2030225},
  mrreviewer = {I. Dolgachev}
}

@book{BHPV04,
  title = {Compact Complex Surfaces},
  author = {Barth, Wolf P. and Hulek, Klaus and Peters, Chris A. M. and Van de Ven, Antonius},
  date = {2004},
  series = {Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. {{Folge}}. {{A}} Series of Modern Surveys in Mathematics [{{Results}} in Mathematics and Related Areas. 3rd Series. {{A}} Series of Modern Surveys in Mathematics]},
  edition = {2},
  volume = {4},
  pages = {xii+436},
  publisher = {Springer-Verlag, Berlin},
  doi = {10.1007/978-3-642-57739-0},
  isbn = {3-540-00832-2},
  mrclass = {14Jxx (14-02 32-02 32J15 57R57)},
  mrnumber = {2030225},
  mrreviewer = {I. Dolgachev}
}

@book{BHPV04,
  title = {Compact Complex Surfaces},
  author = {Barth, Wolf P. and Hulek, Klaus and Peters, Chris A. M. and Ven, Antonius},
  date = {2004},
  publisher = {Springer Berlin Heidelberg},
  doi = {10.1007/978-3-642-57739-0},
  url = {https://doi.org/10.1007/978-3-642-57739-0},
  file = {/home/zack/Downloads/Zotero_Source/Springer Berlin Heidelberg/2004/Barth et al. - 2004 - Compact complex surfaces.pdf}
}

@article{bierstone1995canonical-desingularization,
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  fjournal = {Annals of Mathematics. Second Series},
  mrclass = {52B05 (52B12 52B35)},
  mrnumber = {1166643 (93e:52019)},
  mrreviewer = {P. McMullen}
}

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@article{bingener1981on-the-existence-of-analytic,
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@online{Bir23,
  title = {Geometry of Polarised Varieties},
  author = {Birkar, Caucher},
  date = {2022-09-19},
  eprint = {2006.11238},
  eprinttype = {arxiv},
  eprintclass = {math},
  doi = {10.48550/arXiv.2006.11238},
  url = {http://arxiv.org/abs/2006.11238},
  urldate = {2024-01-28},
  abstract = {In this paper we investigate the geometry of projective varieties polarised by ample and more generally nef and big Weil divisors. First we study birational boundedness of linear systems. We show that if \$X\$ is a projective variety of dimension \$d\$ with \$\textbackslash epsilon\$-lc singularities for \$\textbackslash epsilon{$>$}0\$, and if \$N\$ is a nef and big Weil divisor on \$X\$ such that \$N-K\_X\$ is pseudo-effective, then the linear system \$|mN|\$ defines a birational map for some natural number \$m\$ depending only on \$d,\textbackslash epsilon\$. This is key to proving various other results. For example, it implies that if \$N\$ is a big Weil divisor (not necessarily nef) on a klt Calabi-Yau variety of dimension \$d\$, then the linear system \$|mN|\$ defines a birational map for some natural number \$m\$ depending only on \$d\$. It also gives new proofs of some known results, for example, if \$X\$ is an \$\textbackslash epsilon\$-lc Fano variety of dimension \$d\$ then taking \$N=-K\_X\$ we recover birationality of \$|-mK\_X|\$ for bounded \$m\$. We prove similar birational boundedness results for nef and big Weil divisors \$N\$ on projective klt varieties \$X\$ when both \$K\_X\$ and \$N-K\_X\$ are pseudo-effective (here \$X\$ is not assumed \$\textbackslash epsilon\$-lc). Using the above, we show boundedness of polarised varieties under some natural conditions. We extend these to boundedness of semi-log canonical Calabi-Yau pairs polarised by effective ample Weil divisors not containing lc centres. We will briefly discuss applications to existence of projective coarse moduli spaces of such polarised Calabi-Yau pairs.},
  pubstate = {preprint},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/zack/Zotero/storage/A55SBL6X/Birkar - 2022 - Geometry of polarised varieties.pdf}
}

@article{birkar2010existence-of-minimal,
  title = {Existence of Minimal Models for Varieties of Log General Type},
  author = {Birkar, Caucher and Cascini, Paolo and Hacon, Christopher D. and McKernan, James},
  date = {2010},
  journaltitle = {J. Amer. Math. Soc.},
  volume = {23},
  number = {2},
  pages = {405--468},
  issn = {0894-0347},
  doi = {10.1090/S0894-0347-09-00649-3},
  url = {https://doi.org/10.1090/S0894-0347-09-00649-3},
  fjournal = {Journal of the American Mathematical Society},
  mrclass = {14E30 (14E05)},
  mrnumber = {2601039},
  mrreviewer = {Mark Gross}
}

@article{birkar2019anti-pluricanonical,
  title = {Anti-Pluricanonical Systems on {{Fano}} Varieties},
  author = {Birkar, Caucher},
  date = {2019},
  journaltitle = {Ann. of Math. (2)},
  volume = {190},
  number = {2},
  pages = {345--463},
  issn = {0003-486X},
  doi = {10.4007/annals.2019.190.2.1},
  url = {https://doi.org/10.4007/annals.2019.190.2.1},
  fjournal = {Annals of Mathematics. Second Series},
  mrclass = {14J45 (14C20 14E05 14E30)},
  mrnumber = {3997127}
}

@article{birkar2023geometry-polarized,
  title = {Geometry of Polarised Varieties},
  author = {Birkar, Caucher},
  date = {2023},
  journaltitle = {Publ. Math. Inst. Hautes Études Sci.},
  volume = {137},
  pages = {47--105},
  issn = {0073-8301,1618-1913},
  doi = {10.1007/s10240-022-00136-w},
  url = {https://doi.org/10.1007/s10240-022-00136-w},
  fjournal = {Publications Mathématiques. Institut de Hautes Études Scientifiques},
  mrclass = {14E30 (14D20)},
  mrnumber = {4588595}
}

@book{birkenhake2004complex-abelian,
  title = {Complex Abelian Varieties},
  author = {Birkenhake, Christina and Lange, Herbert},
  date = {2004},
  series = {Grundlehren Der Mathematischen Wissenschaften [{{Fundamental}} Principles of Mathematical Sciences]},
  edition = {2},
  volume = {302},
  pages = {xii+635},
  publisher = {Springer-Verlag, Berlin},
  doi = {10.1007/978-3-662-06307-1},
  url = {http://dx.doi.org/10.1007/978-3-662-06307-1},
  isbn = {3-540-20488-1},
  mrclass = {14-02 (14H37 14Kxx 32G20)},
  mrnumber = {2062673},
  mrreviewer = {Fumio Hazama}
}

@article{blache1995example-concerning,
  title = {An Example Concerning {{Alexeev}}'s Boundedness Results on Log Surfaces},
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  date = {1995},
  journaltitle = {Math. Proc. Cambridge Philos. Soc.},
  volume = {118},
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  url = {http://dx.doi.org/10.1017/S0305004100073461},
  fjournal = {Mathematical Proceedings of the Cambridge Philosophical Society},
  mrclass = {14J17 (14J29)},
  mrnumber = {1329459},
  mrreviewer = {Harry D'Souza}
}

@article{blache1995riemann-roch,
  title = {Riemann-{{Roch}} Theorem for Normal Surfaces and Applications},
  author = {Blache, R.},
  date = {1995},
  journaltitle = {Abh. Math. Sem. Univ. Hamburg},
  volume = {65},
  pages = {307--340},
  issn = {0025-5858},
  doi = {10.1007/BF02953338},
  url = {https://doi.org/10.1007/BF02953338},
  fjournal = {Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg},
  mrclass = {14C40 (14J17 14J25 32J15)},
  mrnumber = {1359140},
  mrreviewer = {Dimitrios I. Dais}
}

@article{blache1995the-structure-of-l.c.,
  title = {The Structure of l.c. Surfaces of {{Kodaira}} Dimension Zero, {{I}}},
  author = {Blache, R.},
  date = {1995},
  journaltitle = {JALGG},
  volume = {4},
  number = {1},
  pages = {137--179},
  date-modified = {2012-12-26 19:59:11 +0000}
}

@article{blanc2013symplectic,
  title = {Symplectic Birational Transformations of the Plane},
  author = {Blanc, Jérémy},
  date = {2013},
  journaltitle = {Osaka Journal of Mathematics},
  volume = {50},
  number = {2},
  pages = {573--590},
  publisher = {{Osaka University and Osaka City University, Departments of Mathematics}},
  date-added = {2021-01-25 18:33:12 +0000},
  date-modified = {2021-01-25 18:36:49 +0000}
}

@article{blanc2015topological-k-theory,
  title = {Topological {{K-theory}} of Complex Noncommutative Spaces},
  author = {Blanc, Anthony},
  date = {2015},
  journaltitle = {Preprint}
}

@article{bohning2013on-the-derived,
  title = {On the Derived Category of the Classical {{Godeaux}} Surface},
  author = {Böhning, Christian and von Bothmer, Hans-Christian Graf and Sosna, Pawel},
  options = {useprefix=true},
  date = {2013},
  journaltitle = {Adv. Math.},
  volume = {243},
  pages = {203--231},
  issn = {0001-8708},
  doi = {10.1016/j.aim.2013.04.017},
  url = {http://dx.doi.org/10.1016/j.aim.2013.04.017},
  fjournal = {Advances in Mathematics},
  mrclass = {14F05 (14J29)},
  mrnumber = {3062745},
  mrreviewer = {Caryn Werner}
}

@article{bondal1993homological-properties,
  title = {Homological Properties of Associative Algebras: The Method of Helices},
  author = {Bondal, A. I. and Polishchuk, A. E.},
  date = {1993},
  journaltitle = {Izv. Ross. Akad. Nauk Ser. Mat.},
  volume = {57},
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  doi = {10.1070/IM1994v042n02ABEH001536},
  url = {https://doi.org/10.1070/IM1994v042n02ABEH001536},
  fjournal = {Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya},
  mrclass = {16E99 (14F05 14J45 18F20 18G50)},
  mrnumber = {1230966}
}

@unpublished{Bor18,
  title = {Class of the Affine Line Is a Zero Divisor in the {{Grothendieck}} Ring},
  author = {Borisov, Lev},
  date = {2015-03-12},
  eprint = {1412.6194},
  eprinttype = {arxiv},
  eprintclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.1412.6194},
  url = {http://arxiv.org/abs/1412.6194},
  urldate = {2022-06-06},
  abstract = {We show that the class of the affine line is a zero divisor in the Grothendieck ring of algebraic varieties over complex numbers. The argument is based on the Pfaffian-Grassmannian double mirror correspondence.},
  keywords = {14A10,Mathematics - Algebraic Geometry},
  file = {/home/zack/Zotero/storage/CSELYM2S/Borisov - 2015 - Class of the affine line is a zero divisor in the .pdf;/home/zack/Zotero/storage/I5P9382P/1412.html}
}

@article{borcherds1987automorphism-groups,
  title = {Automorphism Groups of {{Lorentzian}} Lattices},
  author = {Borcherds, Richard},
  date = {1987},
  journaltitle = {J. Algebra},
  volume = {111},
  number = {1},
  pages = {133--153},
  issn = {0021-8693},
  doi = {10.1016/0021-8693(87)90245-6},
  url = {http://dx.doi.org/10.1016/0021-8693(87)90245-6},
  coden = {JALGA4},
  fjournal = {Journal of Algebra},
  mrclass = {20B27 (51F15)},
  mrnumber = {913200 (89b:20018)},
  mrreviewer = {J. S. Hsia}
}

@article{borcherds2000reflection-groups,
  title = {Reflection Groups of {{Lorentzian}} Lattices},
  author = {Borcherds, Richard E.},
  date = {2000},
  journaltitle = {Duke Math. J.},
  volume = {104},
  number = {2},
  pages = {319--366},
  issn = {0012-7094},
  doi = {10.1215/S0012-7094-00-10424-3},
  url = {https://doi.org/10.1215/S0012-7094-00-10424-3},
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@unpublished{BP14,
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  author = {Buchstaber, Victor and Panov, Taras},
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  doi = {10.48550/arXiv.1210.2368},
  url = {http://arxiv.org/abs/1210.2368},
  urldate = {2022-06-06},
  abstract = {Toric topology emerged in the end of the 1990s on the borders of equivariant topology, algebraic and symplectic geometry, combinatorics and commutative algebra. It has quickly grown up into a very active area with many interdisciplinary links and applications, and continues to attract experts from different fields. The key players in toric topology are moment-angle manifolds, a family of manifolds with torus actions defined in combinatorial terms. Their construction links to combinatorial geometry and algebraic geometry of toric varieties via the related notion of a quasitoric manifold. Discovery of remarkable geometric structures on moment-angle manifolds led to seminal connections with the classical and modern areas of symplectic, Lagrangian and non-Kaehler complex geometry. A related categorical construction of moment-angle complexes and their generalisations, polyhedral products, provides a universal framework for many fundamental constructions of homotopical topology. The study of polyhedral products is now evolving into a separate area of homotopy theory, with strong links to other areas of toric topology. A new perspective on torus action has also contributed to the development of classical areas of algebraic topology, such as complex cobordism. The book contains lots of open problems and is addressed to experts interested in new ideas linking all the subjects involved, as well as to graduate students and young researchers ready to enter into a beautiful new area.},
  keywords = {Mathematics - Algebraic Geometry,Mathematics - Algebraic Topology,Mathematics - Combinatorics,Mathematics - Commutative Algebra,Mathematics - Symplectic Geometry},
  file = {/home/zack/Zotero/storage/ILJW3X5P/Buchstaber and Panov - 2014 - Toric Topology.pdf;/home/zack/Zotero/storage/SDEIXT9X/1210.html}
}

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@misc{brandhorst2023finite,
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@unpublished{brown2016geometric,
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@article{brown2018geometric_characterization,
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@unpublished{Cam17,
  title = {The {{K-Theory Spectrum}} of {{Varieties}}},
  author = {Campbell, Jonathan A.},
  date = {2017-01-09},
  eprint = {1505.03136},
  eprinttype = {arxiv},
  eprintclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.1505.03136},
  url = {http://arxiv.org/abs/1505.03136},
  urldate = {2022-06-06},
  abstract = {Using a construction closely related to Waldhausen's \$S\_\textbackslash bullet\$-construction, we produce a spectrum \$K(\textbackslash mathbf\{Var\}\_\{/k\})\$ whose components model the Grothendieck ring of varieties (over a field \$k\$) \$K\_0 (\textbackslash mathbf\{Var\}\_\{/k\})\$. We then produce liftings of various motivic measures to spectrum-level maps, including maps into Waldhausen's \$K\$-theory of spaces \$A(\textbackslash ast)\$ and to \$K(\textbackslash mathbf\{Q\})\$. We end with a conjecture relating \$K(\textbackslash mathbf\{Var\}\_\{/k\})\$ and the doubly-iterated \$K\$-theory of the sphere spectrum.},
  keywords = {Mathematics - Algebraic Geometry,Mathematics - Algebraic Topology,Mathematics - K-Theory and Homology},
  file = {/home/zack/Zotero/storage/558MZ2CF/Campbell - 2017 - The K-Theory Spectrum of Varieties.pdf;/home/zack/Zotero/storage/3WQ9HRVP/1505.html}
}

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@book{CLS11,
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@book{CNS11,
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  series = {London {{Mathematical Society}} Lecture Note Series ; 384},
  publisher = {Cambridge University Press},
  location = {Cambridge},
  abstract = {The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to non-Archimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidly-evolving area of research this book will prove invaluable. This second volume discusses various applications of non-Archimedean geometry, model theory and motivic integration and the interactions between these domains.},
  isbn = {1-107-22249-4},
  keywords = {{Geometry, Algebraic},Analytic spaces,Model theory,Valued fields},
  file = {/home/zack/Zotero/storage/C9R5V6NN/(London Mathematical Society Lecture Note Series 384) Raf Cluckers, Johannes Nicaise, Julien Sebag - Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry_ Volume 2-C.pdf}
}

@book{CNS11a,
  title = {Motivic Integration and Its Interactions with Model Theory and Non-{{Archimedean}} Geometry. {{Volume}} 1 / Edited by {{Raf Cluckers}}, {{Johannes Nicaise}}, {{Julien Sebag}}. [Electronic Resource]},
  author = {Cluckers, Raf and Nicaise, Johannes and Sebag, Julien},
  date = {2011},
  series = {London {{Mathematical Society}} Lecture Note Series ; 383},
  publisher = {Cambridge University Press},
  location = {Cambridge},
  abstract = {The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to non-Archimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidly-evolving area of research this book will prove invaluable. This first volume contains introductory texts on the model theory of valued fields, different approaches to non-Archimedean geometry, and motivic integration on algebraic varieties and non-Archimedean spaces.},
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  keywords = {{Geometry, Algebraic},Analytic spaces,Model theory,Valued fields},
  file = {/home/zack/Zotero/storage/24BUZDK8/Cluckers et al. - 2011 - Motivic integration and its interactions with mode.pdf}
}

@book{CNS18,
  title = {Motivic {{Integration}}},
  author = {Chambert-Loir, Antoine and Nicaise, Johannes and Sebag, Julien},
  date = {2018},
  series = {Progress in {{Mathematics}}},
  volume = {325},
  publisher = {Springer New York},
  location = {New York, NY},
  doi = {10.1007/978-1-4939-7887-8},
  url = {http://link.springer.com/10.1007/978-1-4939-7887-8},
  urldate = {2022-06-06},
  abstract = {The story of motivic integration began with a famous lecture in Orsay by KONTSEVICH in 1995 where he proved that birationally equivalent complex Calabi-Yau varieties have the same Hodge numbers. This result had a strong significance for mirror symmetry. Indeed, it is predicted that if two smooth Calabi-Yau manifolds form a "mirror pair," their Hodge numbers should satisfy some symmetry. However, the varieties that are produced by the duality of models \$A\$ and \$B\$ in string theory are only defined up to birational equivalence, so that a result such as Kontsevich's theorem at least provides soundness of the prediction of mirror symmetry. The starting point for Kontsevich's theorem was the proof by Batyrev (1999a) that birationally equivalent complex Calabi-Yau varieties have the same Betti numbers. Batyrev's proof was based on a reduction to the case where both Calabi-Yau varieties, as well as the birational morphism relating them, are defined over a \$p\$-adic field and have good reduction over the residue field. In that case, he used \$p\$-adic integration to show that these reductions have the same Hasse-Weil zeta function. An application of the Weil conjectures allowed him to conclude that the considered Calabi-Yau varieties have the same Betti numbers. Kontsevich's remarkable insight was that one can upgrade \$p\$-adic integration to a geometric integration theory, which he called motivic integration. It avoids the reduction to positive characteristic by replacing the ring of \$p\$ adic integers by the ring of complex formal power series. It also produces a stronger result, namely, an equality between the classes of birationally equivalent Calabi-Yau varieties in a suitable Grothendieck ring of virtual varieties. While the precise significance of this equality is not precisely understood, it implies readily that the varieties share similar motivic invariants. For example, not only are their rational singular cohomology groups are isomorphic (coincidence of Betti numbers), but the underlying Hodge structures are isomorphic as well. In particular, they have the same Hodge numbers.},
  isbn = {978-1-4939-7885-4 978-1-4939-7887-8},
  langid = {english},
  file = {/home/zack/Zotero/storage/YDX9U9ND/Chambert-Loir et al. - 2018 - Motivic Integration.pdf}
}

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@book{Cob29,
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  pages = {560--589},
  publisher = {World Sci. Publishing},
  location = {Teaneck, NJ},
  date-modified = {2012-12-26 19:59:11 +0000},
  mrclass = {14H10 (14H42)},
  mrreviewer = {Olivier Debarre},
  optmrnumber = {91m:14037}
}

@article{cornalba1991a-remark-on-the-picard,
  title = {A Remark on the {{Picard}} Group of Spin Moduli Space},
  author = {Cornalba, M.},
  date = {1991},
  journaltitle = {Rend. Mat. Acc. Lincei},
  series = {9},
  volume = {2},
  pages = {211--217},
  date-modified = {2012-12-26 19:59:11 +0000}
}

@article{cornalba1993on-the-projectivity,
  title = {On the Projectivity of the Moduli Spaces of Curves},
  author = {Cornalba, M. D. T.},
  date = {1993},
  journaltitle = {J. Reine Angew. Math.},
  volume = {443},
  pages = {11--20},
  issn = {0075-4102,1435-5345},
  doi = {10.1515/crll.1993.443.11},
  url = {https://doi.org/10.1515/crll.1993.443.11},
  fjournal = {Journal für die Reine und Angewandte Mathematik. [Crelle's Journal]},
  mrclass = {14H10 (14D22)},
  mrnumber = {1241126},
  mrreviewer = {R. F. Lax}
}

@incollection{corti2002weighted-grassmannians,
  title = {Weighted {{Grassmannians}}},
  booktitle = {Algebraic Geometry},
  author = {Corti, Alessio and Reid, Miles},
  date = {2002},
  pages = {141--163},
  publisher = {de Gruyter},
  location = {Berlin},
  date-modified = {2012-12-26 19:59:11 +0000},
  mrclass = {14M15 (14J28 14J30)},
  mrnumber = {MR1954062 (2003m:14076)},
  mrreviewer = {Lucio Guerra}
}

@article{Cos83,
  title = {Projective Models of Enriques Surfaces.},
  author = {Cossec, Francois R.},
  date = {1983},
  journaltitle = {Mathematische Annalen},
  volume = {265},
  pages = {283--334},
  issn = {0025-5831; 1432-1807/e},
  url = {https://eudml.org/doc/163825},
  urldate = {2024-01-28},
  langid = {und},
  file = {/home/zack/Zotero/storage/SRG3N5PI/Cossec - 1983 - Projective Models of Enriques Surfaces..pdf}
}

@article{Cos83a,
  title = {Projective Models of Enriques Surfaces},
  author = {Cossec, Francois R.},
  date = {1983-09-01},
  journaltitle = {Math. Ann.},
  volume = {265},
  number = {3},
  pages = {283--334},
  issn = {1432-1807},
  doi = {10.1007/BF01456021},
  url = {https://doi.org/10.1007/BF01456021},
  urldate = {2024-01-28},
  langid = {english},
  keywords = {Projective Model},
  file = {/home/zack/Zotero/storage/UJB74K79/Cossec - 1983 - Projective models of enriques surfaces.pdf}
}

@article{Coughlan2023Tdivisors,
  title = {On {{T-divisors}} and Intersections in the Moduli Space of Stable Surfaces  {\textsubscript{1,3}}},
  author = {Coughlan, Stephen and Franciosi, Marco and Pardini, Rita and Rana, Julie and Rollenske, Sönke},
  date = {2023},
  journaltitle = {J. Lond. Math. Soc. (2)},
  volume = {107},
  number = {2},
  pages = {750--776},
  issn = {0024-6107,1469-7750},
  doi = {10.1112/jlms.12696},
  url = {https://doi.org/10.1112/jlms.12696},
  fjournal = {Journal of the London Mathematical Society. Second Series},
  mrclass = {14J10 (14D20 14J17 14J29)},
  mrnumber = {4549144}
}

@book{cox2011toric-varieties,
  title = {Toric Varieties},
  author = {Cox, David A. and Little, John B. and Schenck, Henry K.},
  date = {2011},
  series = {Graduate Studies in Mathematics},
  volume = {124},
  pages = {xxiv+841},
  publisher = {American Mathematical Society, Providence, RI},
  doi = {10.1090/gsm/124},
  url = {http://dx.doi.org/10.1090/gsm/124},
  isbn = {978-0-8218-4819-7},
  mrclass = {14M25 (05A15 05E45 52B12)},
  mrnumber = {2810322 (2012g:14094)},
  mrreviewer = {Ivan V. Arzhantsev}
}

@article{Cox35,
  title = {Wythoff's {{Construction}} for {{Uniform Polytopes}}},
  author = {Coxeter, H. S. M.},
  date = {1935-01-01},
  journaltitle = {Proceedings of the London Mathematical Society},
  volume = {s2-38},
  number = {1},
  pages = {327--339},
  issn = {0024-6115},
  doi = {10.1112/plms/s2-38.1.327},
  url = {https://doi.org/10.1112/plms/s2-38.1.327},
  urldate = {2024-01-28},
  file = {/home/zack/Zotero/storage/ESJBXHGZ/Coxeter - 1935 - Wythoff's Construction for Uniform Polytopes.pdf}
}

@article{coxeter1935wythoffs-construction,
  title = {Wythoff's {{Construction}} for {{Uniform Polytopes}}},
  author = {Coxeter, H. S. M.},
  date = {1935},
  journaltitle = {Proc. London Math. Soc. (2)},
  volume = {38},
  pages = {327--339},
  issn = {0024-6115},
  url = {https://doi.org/10.1112/plms/s2-38.1.327},
  fjournal = {Proceedings of the London Mathematical Society. Second Series},
  mrclass = {DML},
  mrnumber = {1576319}
}

@book{coxeter1973regular-polytopes,
  title = {Regular Polytopes},
  author = {Coxeter, H. S. M.},
  date = {1973},
  edition = {3},
  pages = {xiv+321},
  publisher = {Dover Publications, Inc., New York},
  mrclass = {50B30},
  mrnumber = {0370327}
}

@article{crawley-boevey06:_multip_delig_simps,
  title = {Multiplicative Preprojective Algebras, Middle Convolution and the {{Deligne-Simpson}} Problem},
  author = {Crawley-Boevey, William and Shaw, Peter},
  date = {2006},
  journaltitle = {Adv. Math.},
  volume = {201},
  number = {1},
  pages = {180--208},
  issn = {0001-8708},
  doi = {10.1016/j.aim.2005.02.003},
  url = {https://doi.org/10.1016/j.aim.2005.02.003},
  fjournal = {Advances in Mathematics},
  mrclass = {16G20 (15A24)},
  mrnumber = {2204754},
  mrreviewer = {Patrick Le Meur}
}

@article{cutkosky1988elementary-contractions,
  title = {Elementary Contractions of {{Gorenstein}} Threefolds},
  author = {Cutkosky, S.D.},
  date = {1988},
  journaltitle = {Math. Ann.},
  volume = {280},
  pages = {521--525},
  date-modified = {2012-12-26 19:59:11 +0000}
}

@article{cutkosky1988weil-divisors,
  title = {Weil Divisors and Symbolic Algebras},
  author = {Cutkosky, S.D.},
  date = {1988},
  journaltitle = {Duke Math. J.},
  volume = {57},
  pages = {175--183},
  date-modified = {2012-12-26 19:59:11 +0000}
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@unpublished{CWZ19,
  title = {Derived \$\textbackslash ell\$-Adic Zeta Functions},
  author = {Campbell, Jonathan and Wolfson, Jesse and Zakharevich, Inna},
  date = {2019-08-13},
  eprint = {1703.09855},
  eprinttype = {arxiv},
  eprintclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.1703.09855},
  url = {http://arxiv.org/abs/1703.09855},
  urldate = {2022-06-09},
  abstract = {We lift the classical Hasse--Weil zeta function of varieties over a finite field to a map of spectra with domain the Grothendieck spectrum of varieties constructed by Campbell and Zakharevich. We use this map to prove that the Grothendieck spectrum of varieties contains nontrivial geometric information in its higher homotopy groups by showing that the map \$\textbackslash mathbb\{S\} \textbackslash to K(Var\_k)\$ induced by the inclusion of \$0\$-dimensional varieties is not surjective on \$\textbackslash pi\_1\$ for a wide range of fields \$k\$. The methods used in this paper should generalize to lifting other motivic measures to maps of \$K\$-theory spectra.},
  keywords = {{14F43, 11S40},Mathematics - Algebraic Geometry,Mathematics - Algebraic Topology,Mathematics - K-Theory and Homology,Mathematics - Number Theory},
  file = {/home/zack/Downloads/Zotero_Source/arXiv/2019/Campbell et al. - 2019 - Derived $ell$-adic zeta functions.pdf}
}

@article{CZ18,
  title = {Devissage and {{Localization}} for the {{Grothendieck Spectrum}} of {{Varieties}}},
  author = {Campbell, Jonathan A. and Zakharevich, Inna},
  date = {2018-11-19},
  doi = {10.48550/arXiv.1811.08014},
  url = {https://arxiv.org/abs/1811.08014v4},
  urldate = {2022-06-07},
  abstract = {We introduce a new perspective on the \$K\$-theory of exact categories via the notion of a CGW-category. CGW-categories are a generalization of exact categories that admit a Qullen \$Q\$-construction, but which also include examples such as finite sets and varieties. By analyzing Quillen's proofs of d\textbackslash 'evissage and localization we define ACGW-categories, an analogous generalization of abelian categories for which we prove theorems analogous to d\textbackslash 'evissage and localization. In particular, although the category of varieties is not quite ACGW, the category of reduced schemes of finite type is; applying d\textbackslash 'evissage and localization allows us to calculate a filtration on the \$K\$-theory of schemes of finite type. As an application of this theory we construct a comparison map showing that the two authors' definitions of the Grothendieck spectrum of varieties are equivalent.},
  langid = {english},
  file = {/home/zack/Zotero/storage/SAB3C7IG/Campbell and Zakharevich - 2018 - Devissage and Localization for the Grothendieck Sp.pdf}
}

@article{CZ21,
  title = {Hilbert's Third Problem and a Conjecture of {{Goncharov}}},
  author = {Campbell, Jonathan and Zakharevich, Inna},
  date = {2019-10-16},
  doi = {10.48550/arXiv.1910.07112},
  url = {https://arxiv.org/abs/1910.07112v8},
  urldate = {2022-06-07},
  abstract = {In this paper we reduce the generalized Hilbert's third problem about Dehn invariants and scissors congruence classes to the injectivity of certain Chern--Simons invariants. We also establish a version of a conjecture of Goncharov relating scissors congruence groups of polytopes and the algebraic \$K\$-theory of \$\textbackslash mathbf\{C\}\$.},
  langid = {english},
  file = {/home/zack/Zotero/storage/AB5ML49Y/Campbell and Zakharevich - 2019 - Hilbert's third problem and a conjecture of Goncha.pdf}
}

@article{danilov1978the-geometry-of-toric,
  title = {The Geometry of Toric Varieties},
  author = {Danilov, V.I.},
  date = {1978},
  journaltitle = {Russian Math. Surveys},
  volume = {33},
  pages = {97--154},
  date-modified = {2012-12-26 19:59:11 +0000}
}

@inproceedings{dayton1981a-spectral-sequence,
  title = {A Spectral Sequence for the {{K-theory}} of Affine Glued Schemes},
  booktitle = {Algebraic {{K-theory}}, Evanston 1980},
  author = {Dayton, B.H. and Weibel, C.A.},
  editor = {Friedlander, E.M. and Stein, M.R.},
  date = {1981},
  series = {Lecture Notes in Math.},
  volume = {854},
  pages = {24--92},
  publisher = {Springer-Verlag},
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}

@article{debarre2010hyper-kahler,
  title = {Hyper-{{Kähler}} Fourfolds and {{Grassmann}} Geometry},
  author = {Debarre, Olivier and Voisin, Claire},
  date = {2010},
  journaltitle = {J. Reine Angew. Math.},
  volume = {649},
  pages = {63--87},
  issn = {0075-4102},
  doi = {10.1515/CRELLE.2010.089},
  url = {http://dx.doi.org/10.1515/CRELLE.2010.089},
  coden = {JRMAA8},
  fjournal = {Journal für die Reine und Angewandte Mathematik. [Crelle's Journal]},
  mrclass = {14J35 (14C05 14J28 32J25 53C26)},
  mrnumber = {2746467 (2012b:14082)},
  mrreviewer = {Kieran G. O'Grady}
}

@article{debarre2012on-the-period-map,
  title = {On the Period Map for Prime {{Fano}} Threefolds of Degree 10},
  author = {Debarre, Olivier and Iliev, Atanas and Manivel, Laurent},
  date = {2012},
  journaltitle = {J. Algebraic Geom.},
  volume = {21},
  number = {1},
  pages = {21--59},
  issn = {1056-3911},
  doi = {10.1090/S1056-3911-2011-00594-8},
  url = {http://dx.doi.org/10.1090/S1056-3911-2011-00594-8},
  fjournal = {Journal of Algebraic Geometry},
  mrclass = {14J45 (14J30 14K30 14M22)},
  mrnumber = {2846678 (2012k:14054)},
  mrreviewer = {Marco Andreatta}
}

@article{debarre2013special-prime,
  title = {Special Prime {{Fano}} Fourfolds of Degree 10 and Index 2},
  author = {Debarre, Olivier and Iliev, Atanas and Manivel, Laurent},
  date = {2013},
  journaltitle = {Preprint}
}

@inproceedings{decker1992geometry-of-the-horrocks,
  title = {Geometry of the {{Horrocks}} Bundle on {{{\textbf{P}}}}⁵},
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  date = {1992},
  series = {London Math. {{Soc}}. {{Lecture}} Note Ser.},
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}

@article{deconcini2008the-quotient,
  title = {The Quotient of a Complete Symmetric Variety},
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  volume = {8},
  number = {4},
  pages = {667--696, 846},
  issn = {1609-3321},
  fjournal = {Moscow Mathematical Journal},
  mrclass = {14L30 (14L24 14M17 14M27)},
  mrnumber = {2499351},
  mrreviewer = {Alessandro Ruzzi}
}

@article{delaunay1934sur-la-sphere-vide,
  title = {Sur La Sphère Vide},
  author = {Delaunay, B.N.},
  date = {1934},
  journaltitle = {Bull. Acad. Sci. USSR, Classe Sci. MAt. Nat.},
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}

@article{deligne1969the-irreducibility-of-the-space,
  title = {The Irreducibility of the Space of Curves of given Genus},
  author = {Deligne, P. and Mumford, D.},
  date = {1969},
  journaltitle = {Inst. Hautes Études Sci. Publ. Math.},
  number = {36},
  pages = {75--109},
  issn = {0073-8301},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Institut des Hautes Études Scientifiques. Publications Mathématiques},
  mrclass = {14.20},
  mrnumber = {MR0262240 (41 \#6850)},
  mrreviewer = {Manfred Herrmann}
}

@book{deligne1970equations,
  title = {Équations Différentielles à Points Singuliers Réguliers},
  author = {Deligne, Pierre},
  date = {1970},
  series = {Lecture Notes in Mathematics, Vol. 163},
  pages = {iii+133},
  publisher = {Springer-Verlag, Berlin-New York},
  mrclass = {14D05 (14C30)},
  mrnumber = {0417174},
  mrreviewer = {Helmut Hamm}
}

@article{deligne1971theorie-de-hodge.,
  title = {Théorie de {{Hodge}}. {{II}}},
  author = {Deligne, Pierre},
  date = {1971},
  journaltitle = {Inst. Hautes Études Sci. Publ. Math.},
  number = {40},
  pages = {5--57},
  issn = {0073-8301},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Institut des Hautes Études Scientifiques. Publications Mathématiques},
  mrclass = {14C30 (14F15)},
  mrnumber = {0498551 (58 \#16653a)},
  mrreviewer = {J. H. M. Steenbrink}
}

@book{deligne1977sga412.-cohomologie,
  title = {{{SGA4}}½. {{Cohomologie}} Étale},
  author = {Deligne, P. and others},
  date = {1977},
  series = {Lecture Notes in Math.},
  volume = {569},
  publisher = {Springer-Verlag},
  date-modified = {2012-12-26 19:59:09 +0000},
  mylabel = {SGA4.5}
}

@book{deloera2010triangulations,
  title = {Triangulations},
  author = {De Loera, Jesús A. and Rambau, Jörg and Santos, Francisco},
  date = {2010},
  series = {Algorithms and Computation in Mathematics},
  volume = {25},
  pages = {xiv+535},
  publisher = {Springer-Verlag, Berlin},
  doi = {10.1007/978-3-642-12971-1},
  url = {http://dx.doi.org/10.1007/978-3-642-12971-1},
  isbn = {978-3-642-12970-4},
  mrclass = {52B55 (05C10 52B05 57Q15 68U05)},
  mrnumber = {2743368 (2011j:52037)}
}

@book{demazure1970sga3.-schemas,
  title = {{{SGA3}}. {{Schémas}} En Groupes},
  author = {Demazure, M. and Grothendieck, A. and others},
  date = {1970},
  series = {Springer-Verlag},
  volume = {151,152,153},
  publisher = {Springer-Verlag},
  date-modified = {2012-12-26 19:59:09 +0000},
  mylabel = {SGA3}
}

@book{demazure1980seminaire-sur-les-singularites,
  title = {Séminaire Sur Les {{Singularités}} Des {{Surfaces}}},
  editor = {Demazure, Michel and Pinkham, Henry Charles and Teissier, Bernard},
  date = {1980},
  series = {Lecture Notes in Mathematics},
  volume = {777},
  pages = {viii+339},
  publisher = {Springer, Berlin},
  isbn = {3-540-09746-5},
  mrclass = {14J17 (14B05 14H20)},
  mrnumber = {579026},
  mrreviewer = {I. Dolgachev}
}

@article{deopurkar2018stable-log,
  title = {Stable Log Surfaces, Admissible Covers, and Canonical Curves of Genus 4},
  author = {Deopurkar, Anand and Han, Changlo},
  date = {2018},
  journaltitle = {arXiv}
}

@unpublished{deopurkar2021stable-quadrics,
  title = {Stable Quadrics, Admissible Covers, and {{Kondō}}'s Sextic {{K3}} Surfaces},
  author = {Deopurkar, Anand and Han, Changho},
  date = {2021}
}

@online{dFKX17,
  title = {The Dual Complex of Singularities},
  author = {de Fernex, Tommaso and Kollár, János and Xu, Chenyang},
  options = {useprefix=true},
  date = {2014-03-16},
  eprint = {1212.1675},
  eprinttype = {arxiv},
  eprintclass = {math},
  doi = {10.48550/arXiv.1212.1675},
  url = {http://arxiv.org/abs/1212.1675},
  urldate = {2024-01-28},
  abstract = {The dual complex of a singularity is defined, up-to homotopy, using resolutions of singularities. In many cases, for instance for isolated singularities, we identify and study a "minimal" representative of the homotopy class that is well defined up-to piecewise linear homeomorphism. This is derived from a more global result concerning dual complexes of dlt pairs. As an application, we also show that the dual complex of a log terminal singularity as well as the one of a simple normal crossing degeneration of a family of rationally connected manifolds are contractible.},
  pubstate = {preprint},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/zack/Downloads/Zotero_Source/arXiv/2014/de Fernex et al. - 2014 - The dual complex of singularities.pdf}
}

@unpublished{dillies2009order6,
  title = {Order 6 Non-Symplectic Automorphisms of {{K3}} Surfaces},
  author = {Dillies, Jimmy},
  date = {2009},
  eprint = {0912.5228},
  eprinttype = {arxiv}
}

@article{dillies2012on-some,
  title = {On Some Order 6 Non-Symplectic Automorphisms of Elliptic {{K3}} Surfaces},
  author = {Dillies, Jimmy},
  date = {2012},
  journaltitle = {Albanian J. Math.},
  volume = {6},
  number = {2},
  pages = {103--114},
  issn = {1930-1235},
  fjournal = {Albanian Journal of Mathematics},
  mrclass = {14J28 (14J50)},
  mrnumber = {3009163},
  mrreviewer = {Shigeyuki Kondo}
}

@article{DK13,
  title = {The Rationality of the Moduli Spaces of {{Coble}} Surfaces and of Nodal {{Enriques}} Surfaces},
  author = {Dolgachev, Igor and Kondo, Shigeyuki},
  date = {2013-06-30},
  journaltitle = {Izv. Math.},
  volume = {77},
  number = {3},
  eprint = {1201.6093},
  eprinttype = {arxiv},
  eprintclass = {math},
  pages = {509--524},
  issn = {1064-5632, 1468-4810},
  doi = {10.1070/IM2013v077n03ABEH002646},
  url = {http://arxiv.org/abs/1201.6093},
  urldate = {2024-01-06},
  abstract = {We prove the rationality of the coarse moduli spaces of Coble surfaces and of nodal Enriques surfaces over the field of complex numbers.},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/zack/Zotero/storage/BQNZIVYH/Dolgachev and Kondo - 2013 - The rationality of the moduli spaces of Coble surf.pdf}
}

@article{Dol07,
  title = {Reflection Groups in Algebraic Geometry},
  author = {Dolgachev, Igor V.},
  date = {2007-10-26},
  journaltitle = {Bull. Amer. Math. Soc.},
  volume = {45},
  number = {01},
  pages = {1--61},
  issn = {0273-0979},
  doi = {10.1090/S0273-0979-07-01190-1},
  url = {http://www.ams.org/journal-getitem?pii=S0273-0979-07-01190-1},
  urldate = {2024-03-20},
  abstract = {After a brief exposition of the theory of discrete reflection groups in spherical, euclidean and hyperbolic geometry as well as their analogs in complex spaces, we present a survey of appearances of these groups in various areas of algebraic geometry.},
  langid = {english},
  file = {/home/zack/Zotero/storage/CJTUHT4U/Dolgachev - 2007 - Reflection groups in algebraic geometry.pdf}
}

@book{Dol12,
  title = {Classical Algebraic Geometry},
  author = {Dolgachev, Igor V.},
  date = {2012},
  pages = {xii+639},
  publisher = {Cambridge University Press, Cambridge},
  doi = {10.1017/CBO9781139084437},
  url = {https://doi.org/10.1017/CBO9781139084437},
  isbn = {978-1-107-01765-8},
  mrclass = {14-02 (14-01)},
  mrnumber = {2964027},
  mrreviewer = {Arnaud Beauville}
}

@book{Dol12,
  title = {Classical Algebraic Geometry},
  author = {Dolgachev, Igor V.},
  date = {2012},
  pages = {xii+639},
  publisher = {Cambridge University Press, Cambridge},
  doi = {10.1017/CBO9781139084437},
  url = {https://doi.org/10.1017/CBO9781139084437},
  isbn = {978-1-107-01765-8},
  mrclass = {14-02 (14-01)},
  mrnumber = {2964027},
  mrreviewer = {Arnaud Beauville}
}

@article{dolgachev1988point-sets,
  title = {Point Sets in Projective Spaces and Theta Functions},
  author = {Dolgachev, Igor and Ortland, David},
  date = {1988},
  journaltitle = {Astérisque},
  number = {165},
  pages = {210},
  issn = {0303-1179,2492-5926},
  fjournal = {Astérisque},
  mrclass = {14D25 (14K25 17B20 20C30)},
  mrnumber = {1007155},
  mrreviewer = {Gerald E. Welters}
}

@article{dolgachev1996mirror-symmetry,
  title = {Mirror Symmetry for Lattice Polarized {{K3}} Surfaces},
  author = {Dolgachev, I. V.},
  date = {1996},
  journaltitle = {J. Math. Sci.},
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  abstract = {A smooth rational surface X is a Coble surface if the anti-canonical linear system is empty while the anti-bicanonical linear system is non-empty. In this note we shall classify these X and consider the finiteness problem of the number of negative curves on X modulo automorphisms.},
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@article{EF21,
  title = {Smoothings and {{Rational Double Point Adjacencies}} for {{Cusp Singularities}}},
  author = {Engel, Philip and Friedman, Robert},
  date = {2021-05-01},
  journaltitle = {J. Differential Geom.},
  volume = {118},
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  eprint = {1609.08031},
  eprinttype = {arxiv},
  eprintclass = {math},
  issn = {0022-040X},
  doi = {10.4310/jdg/1620272941},
  url = {http://arxiv.org/abs/1609.08031},
  urldate = {2024-01-28},
  abstract = {A cusp singularity is a surface singularity whose minimal resolution is a cycle of smooth rational curves meeting transversely. Cusp singularities come in naturally dual pairs. Looijenga proved in 1981 that if a cusp singularity is smoothable, the minimal resolution of the dual cusp is the anticanonical divisor of some smooth rational surface. In 1983, the second author and Miranda gave a criterion for smoothability of a cusp singularity, in terms of the existence of a K-trivial semistable model for the central fiber of such a smoothing. We study these "Type III degenerations" of rational surfaces with an anticanonical divisor--their deformations, birational geometry, and monodromy. Looijenga's original paper also gave a description of the rational double point configurations to which a cusp singularity deforms, but only in the case where the resolution of the dual cusp has cycle length 5 or less. We generalize this classification to an arbitrary cusp singularity, giving an explicit construction of a semistable simultaneous resolution of such an adjacency. The main tools of the proof are (1) formulas for the monodromy of a Type III degeneration, (2) a construction via surgeries on integral-affine surfaces of a degeneration with prescribed monodromy, (3) surjectivity of the period map for Type III central fibers, and (4) a theorem of Shepherd-Barron producing the simultaneous contraction to the adjacency of the cusp singularity.},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/zack/Zotero/storage/2ANKCZXR/Engel and Friedman - 2021 - Smoothings and Rational Double Point Adjacencies f.pdf}
}

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@online{Eng18,
  title = {Looijenga's {{Conjecture}} via {{Integral-affine Geometry}}},
  author = {Engel, Philip},
  date = {2018-07-17},
  eprint = {1409.7676},
  eprinttype = {arxiv},
  eprintclass = {math},
  doi = {10.48550/arXiv.1409.7676},
  url = {http://arxiv.org/abs/1409.7676},
  urldate = {2024-01-28},
  abstract = {A cusp singularity is an elliptic surface singularity whose minimal resolution is a cycle of smooth rational curves meeting transversely. Cusp singularities come in naturally dual pairs. In 1981, Looijenga proved that whenever a cusp singularity is smoothable, the minimal resolution of the dual cusp is an anticanonical divisor of some smooth rational surface. He conjectured the converse. Recent work of Gross, Hacking, and Keel has proven Looijenga's conjecture using methods from mirror symmetry. This paper provides an alternative proof of Looijenga's conjecture based on a combinatorial criterion for smoothability given by Friedman and Miranda in 1983.},
  pubstate = {preprint},
  keywords = {Mathematics - Algebraic Geometry,Mathematics - Symplectic Geometry},
  file = {/home/zack/Zotero/storage/ZLMA6K46/Engel - 2018 - Looijenga's Conjecture via Integral-affine Geometr.pdf}
}

@article{engel2018looijenga,
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@online{Fri15,
  title = {On the Geometry of Anticanonical Pairs},
  author = {Friedman, Robert},
  date = {2016-07-22},
  eprint = {1502.02560},
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  urldate = {2024-01-28},
  abstract = {The systematic study of rational surfaces \$Y\$ with an anticanonical cycle \$D\$ dates back to a fundamental paper of Looijenga in 1981. Recently, Gross, Hacking and Keel have introduced new ideas into the subject. The goal of this mainly expository paper is to survey some results about such surfaces, old and new. We discuss the birational geometry and deformation theory of such pairs as well as the behavior of nef and big linear systems. We prove a theorem of Torelli type due to Gross-Hacking-Keel and describe some consequences. Among the new results in this paper are (1) a proof that the diffeomorphism type of a pair \$(Y,D)\$ is the same as its deformation type, and (2) a new characterization of the roots of the pair, i.e. the integral classes of square \$-2\$ in \$H\textasciicircum 2(Y)\$ orthogonal to the components of \$D\$ which become the class of a smooth rational curve in some deformation.},
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}

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  author = {Fulton, W.},
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  pages = {xii+157},
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  isbn = {0-691-00049-2},
  mrclass = {14M25 (14-02 14J30)},
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  mrreviewer = {T. Oda}
}

@book{fulton1997young-tableaux,
  title = {Young Tableaux},
  author = {Fulton, William},
  date = {1997},
  series = {London Mathematical Society Student Texts},
  volume = {35},
  pages = {x+260},
  publisher = {Cambridge University Press, Cambridge},
  isbn = {0-521-56144-2 0-521-56724-6},
  mrclass = {05E10 (05E05 05E15 14M15 20G05)},
  mrnumber = {1464693},
  mrreviewer = {Tadeusz Józefiak}
}

@article{gallardo2017wonderful-compactifications,
  title = {Wonderful Compactifications of the Moduli Space of Points in Affine and Projective Space},
  author = {Gallardo, Patricio and Routis, Evangelos},
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  journaltitle = {Eur. J. Math.},
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  doi = {10.1007/s40879-017-0170-4},
  url = {https://doi.org/10.1007/s40879-017-0170-4},
  fjournal = {European Journal of Mathematics},
  mrclass = {14M27 (14D20 14L24)},
  mrnumber = {3687430},
  mrreviewer = {Scott R. Nollet}
}

@misc{gallardo2022unimodal,
  title = {Unimodal Singularities and Boundary Divisors in the {{KSBA}} Moduli of a Class of {{Horikawa}} Surfaces},
  author = {Gallardo, Patricio and Pearlstein, Gregory and Schaffler, Luca and Zhang, Zheng},
  date = {2022},
  eprintclass = {math.AG},
  archiveprefix = {arXiv}
}

@manual{GAP4,
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@article{geer1998the-chow-ring,
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@article{gelfand1982geometry-in-grassmannians,
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}

@article{gelfand1987combinatorial-geometries1,
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}

@article{gelfand1987combinatorial-geometries2,
  title = {Combinatorial Geometries, Convex Polyhedra, and {{Schubert}} Cells},
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}

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}

@book{gelfand2003methods-of-homological,
  title = {Methods of Homological Algebra},
  author = {Gelfand, Sergei I. and Manin, Yuri I.},
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}

@online{GH15,
  title = {Moduli of Polarized {{Enriques}} Surfaces},
  author = {Gritsenko, Valery and Hulek, Klaus},
  date = {2015-03-20},
  eprint = {1502.02723},
  eprinttype = {arxiv},
  eprintclass = {math},
  doi = {10.48550/arXiv.1502.02723},
  url = {http://arxiv.org/abs/1502.02723},
  urldate = {2024-01-28},
  abstract = {In this paper we consider moduli spaces of polarized and numerically polarized Enriques surfaces. The moduli spaces of numerically polarized Enriques surfaces can be described as open subsets of orthogonal modular varieties of dimension 10. One of the consequences of our description is that there are only finitely many isomorphism classes of moduli spaces of polarized and numerically polarized Enriques surfaces. We use modular forms to prove for a number of small degrees that the Kodaira dimension of the moduli space of numerically polarized Enriques surfaces is negative. Finally we prove that there are infinitely many polarizatons for which the moduli space of numerically polarized Enriques surfaces is birational to the moduli space of unpolarized Enriques surfaces with a level 2 structure.},
  pubstate = {preprint},
  version = {2},
  keywords = {{14J28, 14D20, 14G35, 11F23},Mathematics - Algebraic Geometry},
  file = {/home/zack/Zotero/storage/25ICQ5YF/Gritsenko and Hulek - 2015 - Moduli of polarized Enriques surfaces.pdf}
}

@incollection{GH16,
  title = {{$<$}a Href="{{https://doi.org/10.1007/978-3-319-29959-4\_3"$>$}}{{Moduli of polarized Enriques surfaces}}{$<$}/A{$>$}},
  booktitle = {K3 Surfaces and Their Moduli},
  author = {Gritsenko, Valeri A. and Hulek, Klaus},
  date = {2016},
  series = {Progr. {{Math}}.},
  volume = {315},
  pages = {55--72},
  publisher = {Birkhäuser/Springer, [Cham]},
  doi = {10.1007/978-3-319-29959-4\_3},
  url = {https://doi.org/10.1007/978-3-319-29959-4_3},
  mrclass = {14J28 (14J15)},
  mrnumber = {3524164},
  mrreviewer = {Hoil Kim}
}

@incollection{GH16,
  title = {Moduli of Polarized {{Enriques}} Surfaces},
  booktitle = {K3 Surfaces and Their Moduli},
  author = {Gritsenko, Valeri A. and Hulek, Klaus},
  date = {2016},
  series = {Progr. {{Math}}.},
  volume = {315},
  pages = {55--72},
  publisher = {Birkhäuser/Springer, [Cham]},
  doi = {10.1007/978-3-319-29959-4\_3},
  url = {https://doi.org/10.1007/978-3-319-29959-4_3},
  mrclass = {14J28 (14J15)},
  mrnumber = {3524164},
  mrreviewer = {Hoil Kim}
}

@online{GH16,
  title = {Moduli of Polarized {{Enriques}} Surfaces},
  author = {Gritsenko, Valery and Hulek, Klaus},
  date = {2015-03-20},
  eprint = {1502.02723},
  eprinttype = {arxiv},
  eprintclass = {math},
  doi = {10.48550/arXiv.1502.02723},
  url = {http://arxiv.org/abs/1502.02723},
  urldate = {2024-01-28},
  abstract = {In this paper we consider moduli spaces of polarized and numerically polarized Enriques surfaces. The moduli spaces of numerically polarized Enriques surfaces can be described as open subsets of orthogonal modular varieties of dimension 10. One of the consequences of our description is that there are only finitely many isomorphism classes of moduli spaces of polarized and numerically polarized Enriques surfaces. We use modular forms to prove for a number of small degrees that the Kodaira dimension of the moduli space of numerically polarized Enriques surfaces is negative. Finally we prove that there are infinitely many polarizatons for which the moduli space of numerically polarized Enriques surfaces is birational to the moduli space of unpolarized Enriques surfaces with a level 2 structure.},
  pubstate = {preprint},
  keywords = {{14J28, 14D20, 14G35, 11F23},Mathematics - Algebraic Geometry},
  file = {/home/zack/Zotero/storage/ZTDGG9IV/Gritsenko and Hulek - 2015 - Moduli of polarized Enriques surfaces.pdf}
}

@article{GHK15,
  title = {{$<$}a Href="{{https://doi.org/10.1112\%2Fs0010437x14007611"$>$}}{{Moduli of surfaces with an anti-canonical cycle}}{$<$}/A{$>$}},
  author = {Gross, Mark and Hacking, Paul and Keel, Sean},
  date = {2014-10},
  journaltitle = {Compositio Mathematica},
  volume = {151},
  number = {2},
  pages = {265--291},
  publisher = {Wiley},
  doi = {10.1112/s0010437x14007611},
  url = {https://doi.org/10.1112%2Fs0010437x14007611}
}

@article{GHK15,
  title = {{$<$}a Href="{{https://doi.org/10.1112\%2Fs0010437x14007611"$>$}}{{Moduli of surfaces with an anti-canonical cycle}}{$<$}/A{$>$}},
  author = {Gross, Mark and Hacking, Paul and Keel, Sean},
  date = {2014-10},
  journaltitle = {Compositio Mathematica},
  volume = {151},
  number = {2},
  pages = {265--291},
  publisher = {Wiley},
  doi = {10.1112/s0010437x14007611},
  url = {https://doi.org/10.1112%2Fs0010437x14007611}
}

@online{GHK15a,
  title = {Mirror Symmetry for Log {{Calabi-Yau}} Surfaces {{I}}},
  author = {Gross, Mark and Hacking, Paul and Keel, Sean},
  date = {2015-03-06},
  eprint = {1106.4977},
  eprinttype = {arxiv},
  eprintclass = {math},
  doi = {10.48550/arXiv.1106.4977},
  url = {http://arxiv.org/abs/1106.4977},
  urldate = {2024-01-28},
  abstract = {We give a canonical synthetic construction of the mirror family to a pair (Y,D) of a smooth projective surface with an anti-canonical cycle of rational curves, as the spectrum of an explicit algebra defined in terms of counts of rational curves on Y meeting D in a single point. In the case D is contractible, the family gives a smoothing of the dual cusp, and thus a proof of Looijenga's 1981 cusp conjecture.},
  pubstate = {preprint},
  keywords = {{14J33, 58K60},Mathematics - Algebraic Geometry},
  file = {/home/zack/Downloads/Zotero_Source/arXiv/2015/Gross et al. - 2015 - Mirror symmetry for log Calabi-Yau surfaces I.pdf}
}

@article{GHK15b,
  title = {Moduli of Surfaces with an Anti-Canonical Cycle},
  author = {Gross, Mark and Hacking, Paul and Keel, Sean},
  date = {2015-02},
  journaltitle = {Compositio Math.},
  volume = {151},
  number = {2},
  eprint = {1211.6367},
  eprinttype = {arxiv},
  eprintclass = {math},
  pages = {265--291},
  issn = {0010-437X, 1570-5846},
  doi = {10.1112/S0010437X14007611},
  url = {http://arxiv.org/abs/1211.6367},
  urldate = {2024-01-28},
  abstract = {We prove a global Torelli theorem for pairs (Y,D), where Y is a smooth projective rational surface and D is an effective anti-canonical divisor which is a cycle of rational curves. This Torelli theorem was conjectured by Friedman in 1984. In addition, we construct natural universal families for such pairs.},
  keywords = {{14J10, 14J26},Mathematics - Algebraic Geometry},
  file = {/home/zack/Downloads/Zotero_Source/Compositio Mathematica/2015/Gross et al. - 2015 - Moduli of surfaces with an anti-canonical cycle.pdf}
}

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  fjournal = {Advances in Mathematics},
  mrclass = {32S30 (14E15 53D17)},
  mrnumber = {2065506},
  mrreviewer = {Dmitri I. Panyushev}
}

@book{giraud1968dix-exposes-sur-la-cohomologie,
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  publisher = {Masson \& Cie, Paris. North-Holland, Amsterdam},
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  fjournal = {Discrete Mathematics},
  mrclass = {05C99},
  mrnumber = {0392684 (52 \#13501)}
}

@article{glover1979103-graphs-that,
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  coden = {JCBTB8},
  date-modified = {2012-12-26 19:59:11 +0000},
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  mrclass = {05C10},
  mrnumber = {554298 (81h:05060)},
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}

@book{godement1973topologie-algebrique,
  title = {Topologie Algébrique et Théorie Des Faisceaux},
  author = {Godement, Roger},
  date = {1973},
  pages = {viii+283},
  publisher = {Hermann},
  location = {Paris},
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  mrnumber = {MR0345092 (49 \#9831)}
}

@article{goldman1984radiance-obstruction,
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  url = {https://doi.org/10.2307/1999812},
  fjournal = {Transactions of the American Mathematical Society},
  mrclass = {57R99 (53C20 55R25)},
  mrnumber = {760977},
  mrreviewer = {Kyung Bai Lee}
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@incollection{Gon93,
  title = {The {{Classical Polylogarithms}}, {{Algebraic K-Theory And ζF}}(n)},
  booktitle = {The {{Gelfand Mathematical Seminars}}, 1990–1992},
  author = {Goncharov, A. B.},
  editor = {Gelfand, Israel M. and Corwin, Lawrence and Lepowsky, James},
  date = {1993},
  pages = {113--135},
  publisher = {Birkhäuser},
  location = {Boston, MA},
  doi = {10.1007/978-1-4612-0345-2_7},
  url = {https://doi.org/10.1007/978-1-4612-0345-2_7},
  urldate = {2022-06-07},
  abstract = {The classical polylogarithms are defined by the following absolutely convergent series in the unit disc |z| ≤ 11\$\$Li\_n (z): = \textbackslash sum\textbackslash limits\_\{k = 1\}\textasciicircum\textbackslash infty  \{\textbackslash frac\{\{z\textasciicircum k \}\}\{\{k\textasciicircum n \}\}\}\$\$For example Li1(z)=−log(1−z).},
  isbn = {978-1-4612-0345-2},
  langid = {english},
  keywords = {Generic Configuration,Hyperbolic Manifold,Lobachevsky Space,Steklov Institute,Zeta Function},
  file = {/home/zack/Zotero/storage/H5JGDA5B/Goncharov - 1993 - The Classical Polylogarithms, Algebraic K-Theory A.pdf}
}

@article{Gon95,
  title = {Geometry of {{Configurations}}, {{Polylogarithms}}, and {{Motivic Cohomology}}},
  author = {Goncharov, A. B.},
  date = {1995-09-01},
  journaltitle = {Advances in Mathematics},
  volume = {114},
  number = {2},
  pages = {197--318},
  issn = {0001-8708},
  doi = {10.1006/aima.1995.1045},
  url = {https://www.sciencedirect.com/science/article/pii/S0001870885710456},
  urldate = {2022-06-07},
  abstract = {Let A be a discrete valuation ring with field of fractions F and residue field k such that |k|≠2,3,4,5,7,8,9,16,27,32,64{$<$}math{$><$}mo stretchy="false" is="true"{$>$}|{$<$}/mo{$><$}mi is="true"{$>$}k{$<$}/mi{$><$}mo stretchy="false" is="true"{$>$}|{$<$}/mo{$><$}mo is="true"{$>$}≠{$<$}/mo{$><$}mn is="true"{$>$}2{$<$}/mn{$><$}mo is="true"{$>$},{$<$}/mo{$><$}mn is="true"{$>$}3{$<$}/mn{$><$}mo is="true"{$>$},{$<$}/mo{$><$}mn is="true"{$>$}4{$<$}/mn{$><$}mo is="true"{$>$},{$<$}/mo{$><$}mn is="true"{$>$}5{$<$}/mn{$><$}mo is="true"{$>$},{$<$}/mo{$><$}mn is="true"{$>$}7{$<$}/mn{$><$}mo is="true"{$>$},{$<$}/mo{$><$}mn is="true"{$>$}8{$<$}/mn{$><$}mo is="true"{$>$},{$<$}/mo{$><$}mn is="true"{$>$}9{$<$}/mn{$><$}mo is="true"{$>$},{$<$}/mo{$><$}mn is="true"{$>$}16{$<$}/mn{$><$}mo is="true"{$>$},{$<$}/mo{$><$}mn is="true"{$>$}27{$<$}/mn{$><$}mo is="true"{$>$},{$<$}/mo{$><$}mn is="true"{$>$}32{$<$}/mn{$><$}mo is="true"{$>$},{$<$}/mo{$><$}mn is="true"{$>$}64{$<$}/mn{$><$}/math{$>$}. We prove that there is a natural exact sequence where RP1(k){$<$}math{$><$}msub is="true"{$><$}mrow is="true"{$><$}mi mathvariant="script" is="true"{$>$}RP{$<$}/mi{$><$}/mrow{$><$}mrow is="true"{$><$}mn is="true"{$>$}1{$<$}/mn{$><$}/mrow{$><$}/msub{$><$}mo stretchy="false" is="true"{$>$}({$<$}/mo{$><$}mi is="true"{$>$}k{$<$}/mi{$><$}mo stretchy="false" is="true"{$>$}){$<$}/mo{$><$}/math{$>$} is the refined scissors congruence group of k. Let Γ0(mA){$<$}math{$><$}msub is="true"{$><$}mrow is="true"{$><$}mi mathvariant="normal" is="true"{$>$}Γ{$<$}/mi{$><$}/mrow{$><$}mrow is="true"{$><$}mn is="true"{$>$}0{$<$}/mn{$><$}/mrow{$><$}/msub{$><$}mo stretchy="false" is="true"{$>$}({$<$}/mo{$><$}msub is="true"{$><$}mrow is="true"{$><$}mi mathvariant="fraktur" is="true"{$>$}m{$<$}/mi{$><$}/mrow{$><$}mrow is="true"{$><$}mi is="true"{$>$}A{$<$}/mi{$><$}/mrow{$><$}/msub{$><$}mo stretchy="false" is="true"{$>$}){$<$}/mo{$><$}/math{$>$} denote the congruence subgroup consisting of matrices in SL2(A){$<$}math{$><$}msub is="true"{$><$}mrow is="true"{$><$}mi mathvariant="normal" is="true"{$>$}SL{$<$}/mi{$><$}/mrow{$><$}mrow is="true"{$><$}mn is="true"{$>$}2{$<$}/mn{$><$}/mrow{$><$}/msub{$><$}mo stretchy="false" is="true"{$>$}({$<$}/mo{$><$}mi is="true"{$>$}A{$<$}/mi{$><$}mo stretchy="false" is="true"{$>$}){$<$}/mo{$><$}/math{$>$} whose lower off-diagonal entry lies in the maximal ideal mA{$<$}math{$><$}msub is="true"{$><$}mrow is="true"{$><$}mi mathvariant="fraktur" is="true"{$>$}m{$<$}/mi{$><$}/mrow{$><$}mrow is="true"{$><$}mi is="true"{$>$}A{$<$}/mi{$><$}/mrow{$><$}/msub{$><$}/math{$>$}. We also prove that there is an exact sequence where I2(k){$<$}math{$><$}msup is="true"{$><$}mrow is="true"{$><$}mi is="true"{$>$}I{$<$}/mi{$><$}/mrow{$><$}mrow is="true"{$><$}mn is="true"{$>$}2{$<$}/mn{$><$}/mrow{$><$}/msup{$><$}mo stretchy="false" is="true"{$>$}({$<$}/mo{$><$}mi is="true"{$>$}k{$<$}/mi{$><$}mo stretchy="false" is="true"{$>$}){$<$}/mo{$><$}/math{$>$} is the second power of the fundamental ideal of the Grothendieck-Witt ring GW(k){$<$}math{$><$}mrow is="true"{$><$}mi mathvariant="normal" is="true"{$>$}GW{$<$}/mi{$><$}/mrow{$><$}mo stretchy="false" is="true"{$>$}({$<$}/mo{$><$}mi is="true"{$>$}k{$<$}/mi{$><$}mo stretchy="false" is="true"{$>$}){$<$}/mo{$><$}/math{$>$} and P‾(k){$<$}math{$><$}mover accent="true" is="true"{$><$}mrow is="true"{$><$}mi mathvariant="script" is="true"{$>$}P{$<$}/mi{$><$}/mrow{$><$}mo is="true"{$>$}‾{$<$}/mo{$><$}/mover{$><$}mo stretchy="false" is="true"{$>$}({$<$}/mo{$><$}mi is="true"{$>$}k{$<$}/mi{$><$}mo stretchy="false" is="true"{$>$}){$<$}/mo{$><$}/math{$>$} is a certain quotient of the scissors congruence group (in the sense of Dupont-Sah) P(k){$<$}math{$><$}mi mathvariant="script" is="true"{$>$}P{$<$}/mi{$><$}mo stretchy="false" is="true"{$>$}({$<$}/mo{$><$}mi is="true"{$>$}k{$<$}/mi{$><$}mo stretchy="false" is="true"{$>$}){$<$}/mo{$><$}/math{$>$} of k. For an infinite field F, we study the kernel of the map and the cokernel of We give conjectural estimates of these kernels and cokernels and prove our conjectures for n≤4{$<$}math{$><$}mi is="true"{$>$}n{$<$}/mi{$><$}mo is="true"{$>$}≤{$<$}/mo{$><$}mn is="true"{$>$}4{$<$}/mn{$><$}/math{$>$}.},
  langid = {english},
  file = {/home/zack/Zotero/storage/KH68V9ME/Goncharov - 1995 - Geometry of Configurations, Polylogarithms, and Mo.pdf}
}

@article{Gon99,
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  abstract = {Two different constructions of an invariant of an odd dimensional hyperbolic manifold in the K-group \$K\_\{2n-1\}(\textbackslash bar \textbackslash Bbb Q)\textbackslash otimes \textbackslash Bbb Q\$ are given. The volume of the manifold is equal to the value of the Borel regulator on that element. The scissor congruence groups in non euclidian geometries are studied and their relationship with algebraic K-theory of the field of complex numbers is discussed.},
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@article{Goo17,
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  urldate = {2022-06-07},
  abstract = {We introduce a Grothendieck group \$E\_n\$ for bounded polytopes in \$\textbackslash mathbb R\textasciicircum n\$. It differs from the usual Euclidean scissors congruence group in that lower-dimensional polytopes are not ignored. We also define an analogous group \$L\_n\$ using germs of polytopes at a point, which is related to spherical scissors congruence. This provides a setting for a generalization of the Dehn invariant.},
  langid = {english},
  file = {/home/zack/Zotero/storage/9XXINJAF/Goodwillie - 2014 - Scissors Congruence with Mixed Dimensions.pdf}
}

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@article{gross2010mirror-symmetry,
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  mrclass = {14J33 (14C30 14F40 14T05)},
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@article{gross2013logarithmic,
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  mrclass = {14N35 (14D23 14H10)},
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@article{gross2015mirror-symmetry-for-log,
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@article{gross2015moduli-of-surfaces,
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  journaltitle = {Compos. Math.},
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@article{gross2016theta-functions,
  title = {Theta Functions for {{K3}} Surfaces},
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@article{gross2018canonical-bases,
  title = {Canonical Bases for Cluster Algebras},
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  number = {2},
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@article{grothendieck1957sur-quelques-points,
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  author = {Grothendieck, Alexander},
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  pages = {119--221},
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  fjournal = {The Tohoku Mathematical Journal. Second Series},
  mrclass = {18.00},
  mrnumber = {MR0102537 (21 \#1328)},
  mrreviewer = {D. Buchsbaum}
}

@article{grothendieck1959fondements-de-geometrie,
  title = {Fondements de Géométrie Algébrique},
  author = {Grothendieck, A.},
  date = {1959/0062},
  journaltitle = {Seminaire Bourbaki},
  date-modified = {2012-12-26 19:59:11 +0000},
  issue = {182,190,195,212,221,232,236},
  mylabel = {FGA},
  optmonth = {Mai},
  optpages = {1–28}
}

@article{grothendieck1959geometrie-formelle,
  title = {Géométrie Formelle et Géométrie Algébrique},
  author = {Grothendieck, A.},
  date = {1959-05},
  journaltitle = {Seminaire Bourbaki},
  number = {182},
  pages = {1--28},
  date-modified = {2012-12-26 19:59:11 +0000},
  mylabel = {FGA0}
}

@article{grothendieck1959technique-de-descente,
  title = {Technique de Descente et Théorèmes d'existence En Géométrie Algébrique. {{I}}: {{Généralités}}. {{Descente}} Par Morphismes Fidélement Plats.},
  author = {Grothendieck, A.},
  date = {1959-12},
  journaltitle = {Seminaire Bourbaki},
  number = {190},
  pages = {1--29},
  date-modified = {2012-12-26 19:59:11 +0000},
  mylabel = {FGA1}
}

@article{grothendieck1960ega-i.-le-langage-des-schemas,
  title = {{{EGA I}}. {{Le}} Langage Des Schémas},
  author = {Grothendieck, A. and Diedonné, J.A.},
  date = {1960},
  journaltitle = {Inst. Hautes Études Sci. Publ. Math.},
  volume = {4},
  date-modified = {2012-12-26 19:59:11 +0000},
  mylabel = {EGA1}
}

@article{grothendieck1960technique-de-descente,
  title = {Technique de Descente et Théorèmes d'existence En Géométrie Algébrique. {{II}}: {{Le}} Théoŕ`eme d'existence En Théorie Formelle Des Modules},
  author = {Grothendieck, A.},
  year = {Fevrier 1960},
  journaltitle = {Seminaire Bourbaki},
  number = {195},
  pages = {1--22},
  date-modified = {2012-12-26 19:59:11 +0000},
  mylabel = {FGA2}
}

@article{grothendieck1961ega-ii.-etudes-globale,
  title = {{{EGA II}}. {{Études}} Globale Élémentaire de Quelques Classes de Morphismes},
  author = {Grothendieck, A. and Diedonné, J.A.},
  date = {1961},
  journaltitle = {Inst. Hautes Études Sci. Publ. Math.},
  volume = {8},
  date-modified = {2012-12-26 19:59:11 +0000},
  mylabel = {EGA2}
}

@article{grothendieck1961ega-iii.-etude,
  title = {{{EGA III}}. {{Étude}} Cohomologique Des Faisceaux Cohérents},
  author = {Grothendieck, A. and Diedonné, J.A.},
  year = {1961,63},
  journaltitle = {Inst. Hautes Études Sci. Publ. Math.},
  volume = {11,17},
  date-modified = {2012-12-26 19:59:11 +0000},
  mylabel = {EGA3}
}

@article{grothendieck1961elements-de-geometrie,
  title = {Éléments de Géométrie Algébrique. {{III}}. {{Étude}} Cohomologique Des Faisceaux Cohérents. {{I}}},
  author = {Grothendieck, A.},
  date = {1961},
  journaltitle = {Inst. Hautes Études Sci. Publ. Math.},
  number = {11},
  pages = {167pp},
  issn = {0073-8301},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Institut des Hautes Études Scientifiques. Publications Mathématiques},
  mrclass = {14.55},
  mrnumber = {0217085 (36 \#177c)}
}

@article{grothendieck1961technique-de-construction3,
  title = {Technique de Construction et Théorèmes d'existence En Géométrie Algébrique. {{III}}: {{Preschémas}} Quotients},
  author = {Grothendieck, A.},
  year = {Fevrier 1961},
  journaltitle = {Seminaire Bourbaki},
  number = {212},
  pages = {1--20},
  date-modified = {2021-02-22 21:35:12 -0500},
  mylabel = {FGA3}
}

@article{grothendieck1961technique-de-construction4,
  title = {Technique de Construction et Théorèmes d'existence En Géométrie Algébrique. {{IV}}: {{Les}} Schémas de {{Hilbert}}},
  author = {Grothendieck, A.},
  date = {1961-05},
  journaltitle = {Seminaire Bourbaki},
  number = {221},
  pages = {1--28},
  date-modified = {2021-02-22 21:35:19 -0500},
  mylabel = {FGA4}
}

@article{grothendieck1962fondements-de-la-geometrie,
  title = {Fondements de La Géométrie Algébrique. {{Commentaires}}.},
  author = {Grothendieck, A.},
  date = {1962-05},
  journaltitle = {Seminaire Bourbaki},
  number = {C},
  pages = {1--11},
  date-modified = {2012-12-26 19:59:11 +0000},
  mylabel = {FGA+}
}

@article{grothendieck1962technique-de-descente5,
  title = {Technique de Descente et Théorèmes d'existence En Géométrie Algébrique. {{V}}: {{Les}} Schémas de {{Picard}}: Théorèms d'existence},
  author = {Grothendieck, A.},
  date = {1962-02},
  journaltitle = {Seminaire Bourbaki},
  number = {232},
  pages = {1--19},
  date-modified = {2021-02-22 21:33:38 -0500},
  mylabel = {FGA5}
}

@article{grothendieck1962technique-de-descente56,
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  author = {Grothendieck, A.},
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  number = {232,236},
  pages = {1--19,1--23},
  date-modified = {2021-02-22 21:33:49 -0500},
  mylabel = {FGA}
}

@article{grothendieck1962technique-de-descente6,
  title = {Technique de Descente et Théorèmes d'existence En Géométrie Algébrique. {{VI}}: {{Les}} Schémas de {{Picard}}: Propriétés Générales},
  author = {Grothendieck, A.},
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  journaltitle = {Seminaire Bourbaki},
  number = {236},
  pages = {1--23},
  date-modified = {2021-02-22 21:33:59 -0500},
  mylabel = {FGA6}
}

@article{grothendieck1963elements-de-geometrie,
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  author = {Grothendieck, A.},
  date = {1963},
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@article{grothendieck1964ega-iv.-etude-locale,
  title = {{{EGA IV}}. {{Étude}} Locale Des Schémas et de Morphismes de Schémas},
  author = {Grothendieck, A. and Diedonné, J.A.},
  year = {1964,65,66,67},
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  mylabel = {EGA4}
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@book{grothendieck1964ega0.-preliminaires,
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  date-modified = {2012-12-26 19:59:11 +0000},
  mylabel = {EGA0/2}
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@article{grothendieck1965elements-de-geometrie42,
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  author = {Grothendieck, A.},
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@article{grothendieck1965elements-de-geometrie43,
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  author = {Grothendieck, A.},
  date = {1966},
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@incollection{grothendieck1968dix-exposes-sur-la-cohomologie1,
  title = {Dix Exposés Sur La Cohomologie Des Schémas. {{Le}} Groupe de {{Brauer}}, {{I}}},
  author = {Grothendieck, A.},
  pages = {46--65},
  bookauthor = {S.L. Kleiman},
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  date-modified = {2021-02-22 21:34:20 -0500}
}

@incollection{grothendieck1968dix-exposes-sur-la-cohomologie2,
  title = {Dix Exposés Sur La Cohomologie Des Schémas. {{Le}} Groupe de {{Brauer}}, {{II}}},
  author = {Grothendieck, A.},
  pages = {66--87},
  bookauthor = {S.L. Kleiman},
  crossref = {giraud1968dix-exposes-sur-la-cohomologie},
  date-modified = {2021-02-22 21:34:30 -0500}
}

@incollection{grothendieck1968dix-exposes-sur-la-cohomologie4,
  title = {Dix Exposés Sur La Cohomologie Des Schémas},
  author = {Grothendieck, A.},
  pages = {88--188},
  bookauthor = {S.L. Kleiman},
  crossref = {giraud1968dix-exposes-sur-la-cohomologie},
  date-modified = {2021-02-22 21:34:57 -0500}
}

@book{grothendieck1971egai.-le-langage,
  title = {{{EGAI}}. {{Le}} Langage Des Schémas},
  author = {Grothendieck, A. and Diedonné, J.A.},
  date = {1971},
  series = {{{GRUMS}}},
  volume = {166},
  publisher = {Springer-Verlag},
  date-modified = {2012-12-26 19:59:11 +0000},
  mylabel = {EGA1}
}

@book{grothendieck1971sga1-1,
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  author = {Grothendieck, Alexander},
  date = {1963},
  series = {Séminaire de Géométrie Algébrique},
  volume = {1960/61},
  pages = {iv+143 pp. (not consecutively paged) (loose errata)},
  publisher = {Institut des Hautes Études Scientifiques, Paris},
  mrclass = {14.55},
  mrnumber = {0217087}
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@book{grothendieck1971sga1-2,
  title = {{{SGA1-II}}. {{Revêtements}} Étales et Groupe Fondamental. {{Fasc}}. {{II}}: {{Exposés}} 6, 8 à 11},
  author = {Grothendieck, Alexander},
  date = {1963},
  series = {Séminaire de Géométrie Algébrique},
  volume = {1960/61},
  pages = {i+163 pp. (not consecutively paged) (loose errata)},
  publisher = {Institut des Hautes Études Scientifiques, Paris},
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@book{grothendieck1972sga7-i.-groupes,
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  author = {Grothendieck, A. and Raynaud, M. and Rim, D.S.},
  date = {1972},
  series = {Springer-Verlag},
  volume = {288},
  publisher = {Springer-Verlag},
  date-modified = {2012-12-26 19:59:09 +0000},
  mylabel = {SGA7.1}
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@book{grothendieck1973sga7-i.-groupes,
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  author = {Grothendieck, A. and Deligne, P. and Katz, N.},
  date = {1973},
  series = {Springer-Verlag},
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  publisher = {Springer-Verlag},
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@article{grunewald1980some-general1,
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@article{grunewald1980some-general2,
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@article{hacking2004a-compactification-of-the-space,
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@article{hacking2006compactification-of-the-moduli,
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@article{hacking2009stable-pair,
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@unpublished{hacking2020homological,
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  eprint = {2005.05010},
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@article{hacking2020secondary_fan,
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@article{hacking2020secondary-fan,
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@book{hartshorne1967local-cohomology,
  title = {Local Cohomology},
  author = {Hartshorne, Robin},
  date = {1967},
  series = {A Seminar given by {{A}}. {{Grothendieck}}, Harvard University, Fall},
  volume = {1961},
  pages = {vi+106},
  publisher = {Springer-Verlag},
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  date-modified = {2012-12-26 19:59:10 +0000},
  mrclass = {14.55 (18.00)},
  mrnumber = {0224620 (37 \#219)},
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}

@book{hartshorne1977algebraic-geometry,
  title = {Algebraic Geometry},
  author = {Hartshorne, Robin},
  date = {1977},
  pages = {xvi+496},
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  mrclass = {14-01},
  mrnumber = {MR0463157 (57 \#3116)},
  mrreviewer = {Robert Speiser},
  sauthor = {Hartshorne, R.}
}

@article{hashimoto2012finite-symplectic,
  title = {Finite Symplectic Actions on the {{K3}} Lattice},
  author = {Hashimoto, Kenji},
  date = {2012},
  journaltitle = {Nagoya Math. J.},
  volume = {206},
  pages = {99--153},
  issn = {0027-7630},
  doi = {10.1215/00277630-1548511},
  url = {https://doi.org/10.1215/00277630-1548511},
  fjournal = {Nagoya Mathematical Journal},
  mrclass = {14J28 (11H56 14J50)},
  mrnumber = {2926486},
  mrreviewer = {Ursula Whitcher}
}

@article{hassett1999stable-log-surfaces,
  title = {Stable Log Surfaces and Limits of Quartic Plane Curves},
  author = {Hassett, Brendan},
  date = {1999},
  journaltitle = {Manuscripta Math.},
  volume = {100},
  number = {4},
  pages = {469--487},
  issn = {0025-2611},
  coden = {MSMHB2},
  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {Manuscripta Mathematica},
  mrclass = {14H10 (14E30 14H45)},
  mrnumber = {MR1734796 (2000j:14045)},
  mrreviewer = {I. Dolgachev},
  sauthor = {Hassett, B.}
}

@article{hassett2001stable-limits,
  title = {Stable Limits of Log Surfaces and {{Cohen-Macaulay}} Singularities},
  author = {Hassett, Brendan},
  date = {2001},
  journaltitle = {J. Algebra},
  volume = {242},
  number = {1},
  pages = {225--235},
  issn = {0021-8693},
  coden = {JALGA4},
  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {Journal of Algebra},
  mrclass = {14J30 (14J17)},
  mrnumber = {MR1844707 (2002f:14051)},
  mrreviewer = {Shihoko Ishii},
  sauthor = {Hassett, B.}
}

@article{hassett2003moduli-spaces,
  title = {Moduli Spaces of Weighted Pointed Stable Curves},
  author = {Hassett, Brendan},
  date = {2003},
  journaltitle = {Adv. Math.},
  volume = {173},
  number = {2},
  pages = {316--352},
  issn = {0001-8708},
  coden = {ADMTA4},
  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {Advances in Mathematics},
  mrclass = {14H10 (14D22 14E30)},
  mrnumber = {MR1957831 (2004b:14040)},
  mrreviewer = {Ivan S. Kausz},
  sauthor = {Hassett, B.}
}

@article{hassett2004reflexive-pull-backs,
  title = {Reflexive Pull-Backs and Base Extension},
  author = {Hassett, Brendan and Kovács, Sándor J.},
  date = {2004},
  journaltitle = {J. Algebraic Geom.},
  volume = {13},
  number = {2},
  pages = {233--247},
  issn = {1056-3911},
  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {Journal of Algebraic Geometry},
  mrclass = {14D22},
  mrnumber = {MR2047697 (2005b:14028)},
  mrreviewer = {Arvid Siqveland},
  sauthor = {Hassett, B. and Kovács, S. J.}
}

@book{hatcher2002algebraic-topology,
  title = {Algebraic Topology},
  author = {Hatcher, Allen},
  date = {2002},
  pages = {xii+544},
  publisher = {Cambridge University Press},
  location = {Cambridge},
  date-modified = {2012-12-26 19:59:10 +0000},
  isbn = {0-521-79160-X 0-521-79540-0},
  mrclass = {55-01 (55-00)},
  mrnumber = {MR1867354 (2002k:55001)},
  mrreviewer = {Donald W. Kahn}
}

@article{he2011semistable-locus,
  title = {Semistable Locus of a Group Compactification},
  author = {He, Xuhua and Starr, Jason},
  date = {2011},
  journaltitle = {Represent. Theory},
  volume = {15},
  pages = {574--583},
  issn = {1088-4165},
  doi = {10.1090/S1088-4165-2011-00404-0},
  url = {http://dx.doi.org/10.1090/S1088-4165-2011-00404-0},
  fjournal = {Representation Theory. An Electronic Journal of the American Mathematical Society},
  mrclass = {14L30 (14M27)},
  mrnumber = {2833468},
  mrreviewer = {Benjamin M. S. Martin}
}

@incollection{heckman2002moduli-space,
  title = {The Moduli Space of Rational Elliptic Surfaces},
  booktitle = {Algebraic Geometry 2000, {{Azumino}} ({{Hotaka}})},
  author = {Heckman, Gert and Looijenga, Eduard},
  date = {2002},
  series = {Adv. {{Stud}}. {{Pure}} Math.},
  volume = {36},
  pages = {185--248},
  publisher = {Math. Soc. Japan, Tokyo},
  mrclass = {14J15 (14J27 32N10)},
  mrnumber = {1971517},
  mrreviewer = {Arvid Siqveland}
}

@article{hensley1983lattice-vertex,
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  journaltitle = {Pacific J. Math.},
  volume = {105},
  pages = {183--191},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{hering2014ring-even,
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  author = {Hering, Milena and Howard, Benjamin J.},
  date = {2014},
  journaltitle = {Math. Z.},
  volume = {277},
  number = {3-4},
  pages = {691--708},
  issn = {0025-5874},
  doi = {10.1007/s00209-013-1272-4},
  url = {http://dx.doi.org/10.1007/s00209-013-1272-4},
  fjournal = {Mathematische Zeitschrift},
  mrclass = {14L24 (13D40)},
  mrnumber = {3229960},
  mrreviewer = {Gergely Bérczi}
}

@book{herrmann1988equimultiplicity-and-blowing,
  title = {Equimultiplicity and Blowing Up},
  author = {Herrmann, M. and Ikeda, S. and Orbanz, U.},
  date = {1988},
  publisher = {Springer-Verlag},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{herrmann2009how-to-draw,
  title = {How to Draw Tropical Planes},
  author = {Herrmann, Sven and Jensen, Anders and Joswig, Michael and Sturmfels, Bernd},
  date = {2009},
  journaltitle = {Electron. J. Combin.},
  volume = {16},
  pages = {Research Paper 6, 26},
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  url = {http://www.combinatorics.org/Volume₁6/Abstracts/v16i2r6.html},
  date-modified = {2012-12-26 19:59:11 +0000},
  fjournal = {Electronic Journal of Combinatorics},
  issue = {2, Special volume in honor of Anders Bjorner},
  mrclass = {52B40 (05C62 14T05)},
  mrnumber = {2515769 (2011a:52026)},
  mrreviewer = {Joaquim Roé}
}

@article{HH,
  title = {({{Unfinished}} and Comments Are Welcome)},
  author = {Heckman, Gert and Heckman, G},
  langid = {english},
  file = {/home/zack/Zotero/storage/F35X9PCW/CoxeterGroups (1).pdf}
}

@book{hilton1997a-course-in-homological,
  title = {A Course in Homological Algebra},
  author = {Hilton, P. J. and Stammbach, U.},
  date = {1997},
  series = {Graduate Texts in Mathematics},
  edition = {2},
  volume = {4},
  pages = {xii+364},
  publisher = {Springer-Verlag},
  location = {New York},
  date-modified = {2012-12-26 19:59:10 +0000},
  isbn = {0-387-94823-6},
  mrclass = {18-02 (17B56 18Gxx 20J05)},
  mrnumber = {MR1438546 (97k:18001)}
}

@article{hirzebruch1957on-the-complex-projective,
  title = {On the Complex Projective Spaces},
  author = {Hirzebruch, F. and Kodaira, K.},
  date = {1957},
  journaltitle = {JMATP},
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  pages = {201--216},
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@article{hitchin1992hyperkahler,
  title = {Hyper-{{Kähler}} Manifolds},
  author = {Hitchin, Nigel},
  date = {1992},
  journaltitle = {Astérisque},
  number = {206},
  pages = {Exp. No. 748, 3, 137--166},
  issn = {0303-1179},
  fjournal = {Astérisque},
  mrclass = {53C25 (32S25 53C55)},
  mrnumber = {1206066},
  mrreviewer = {Krzysztof Galicki}
}

@article{hitchin92:_hyper_k,
  title = {Hyper-{{Kähler}} Manifolds},
  author = {Hitchin, Nigel},
  date = {1992},
  journaltitle = {Astérisque},
  number = {206},
  pages = {Exp. No. 748, 3, 137--166},
  issn = {0303-1179},
  fjournal = {Astérisque},
  mrclass = {53C25 (32S25 53C55)},
  mrnumber = {1206066},
  mrreviewer = {Krzysztof Galicki}
}

@article{HMM+21,
  title = {Cut and Paste Invariants of Manifolds via Algebraic {{K-theory}}},
  author = {Hoekzema, Renee S. and Merling, Mona and Murray, Laura and Rovi, Carmen and Semikina, Julia},
  date = {2022-04-15},
  journaltitle = {Topology and its Applications},
  pages = {108105},
  issn = {0166-8641},
  doi = {10.1016/j.topol.2022.108105},
  url = {https://www.sciencedirect.com/science/article/pii/S0166864122001079},
  urldate = {2022-06-07},
  abstract = {Recent work of Inna Zakharevich and Jonathan Campbell has focused on building machinery for studying scissors congruence problems via algebraic K-theory, and applying these tools to studying the Grothendieck ring of varieties. In this paper we give a new application of their framework: we construct a K-theory space that recovers the classical SK (“schneiden und kleben,” German for “cut and paste”) groups for manifolds on π0, and we construct a derived version of the Euler characteristic.},
  langid = {english},
  file = {/home/zack/Downloads/Zotero_Source/Topology and its Applications/2022/Hoekzema et al. - 2022 - Cut and paste invariants of manifolds via algebrai.pdf;/home/zack/Zotero/storage/5VM3CFDZ/S0166864122001079.html}
}

@article{hochster1969prime-ideal,
  title = {Prime Ideal Structure in Commutative Rings},
  author = {Hochster, M.},
  date = {1969},
  journaltitle = {Trans. Amer. Math. Soc.},
  volume = {142},
  pages = {43--60},
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  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {Transactions of the American Mathematical Society},
  mrclass = {13.20 (14.00)},
  mrnumber = {MR0251026 (40 \#4257)},
  mrreviewer = {S. S. Page}
}

@article{hochster1974rings-of-invariants,
  title = {Rings of Invariants of Reductive Groups Acting on Regular Rings Are {{Cohen-Macaulay}}},
  author = {Hochster, Melvin and Roberts, Joel L.},
  date = {1974},
  journaltitle = {Advances in Math.},
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  date-modified = {2012-12-26 19:59:10 +0000},
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  mrnumber = {MR0347810 (50 \#311)},
  mrreviewer = {M. Nagata},
  sauthor = {Hochster, M. and Roberts, J.L.}
}

@article{hohn2016the-290,
  title = {The 290 Fixed-Point Sublattices of the {{Leech}} Lattice},
  author = {Höhn, Gerald and Mason, Geoffrey},
  date = {2016},
  journaltitle = {J. Algebra},
  volume = {448},
  pages = {618--637},
  issn = {0021-8693},
  doi = {10.1016/j.jalgebra.2015.08.028},
  url = {https://doi.org/10.1016/j.jalgebra.2015.08.028},
  fjournal = {Journal of Algebra},
  mrclass = {11H06 (20D08)},
  mrnumber = {3438323},
  mrreviewer = {Antonino Leonardis}
}

@article{Hor78a,
  title = {On the Periods of {{Enriques}} Surfaces. {{I}}},
  author = {Horikawa, Eiji},
  date = {1978},
  journaltitle = {Math. Ann.},
  volume = {234},
  number = {1},
  pages = {73--88},
  issn = {0025-5831,1432-1807},
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  url = {https://doi.org/10.1007/BF01409342},
  fjournal = {Mathematische Annalen},
  mrclass = {14J25},
  mrnumber = {491725},
  mrreviewer = {Jayant M. Shah},
  file = {/home/zack/Downloads/Zotero_Source/Mathematische Annalen/1978/Horikawa - 1978 - On the periods of Enriques surfaces. I.pdf}
}

@article{Hor78b,
  title = {On the Periods of {{Enriques}} Surfaces. {{II}}},
  author = {Horikawa, Eiji},
  date = {1978},
  journaltitle = {Math. Ann.},
  volume = {235},
  number = {3},
  pages = {217--246},
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  url = {https://doi.org/10.1007/BF01420123},
  fjournal = {Mathematische Annalen},
  mrclass = {14J25},
  mrnumber = {491726},
  mrreviewer = {Jayant M. Shah},
  file = {/home/zack/Downloads/Zotero_Source/Mathematische Annalen/1978/Horikawa - 1978 - On the periods of Enriques surfaces. II.pdf}
}

@article{howard2012ideal-relations,
  title = {The Ideal of Relations for the Ring of Invariants of {{n}} Points on the Line},
  author = {Howard, Benjamin and Millson, John and Snowden, Andrew and Vakil, Ravi},
  date = {2012},
  journaltitle = {J. Eur. Math. Soc. (JEMS)},
  volume = {14},
  number = {1},
  pages = {1--60},
  issn = {1435-9855},
  doi = {10.4171/JEMS/295},
  url = {http://dx.doi.org/10.4171/JEMS/295},
  fjournal = {Journal of the European Mathematical Society (JEMS)},
  mrclass = {13A50 (14L24)},
  mrnumber = {2862033},
  mrreviewer = {Scott R. Nollet}
}

@incollection{HT15,
  title = {The {{Geometry}} and {{Moduli}} of {{K3 Surfaces}}},
  author = {Harder, Andrew and Thompson, Alan},
  date = {2015},
  volume = {34},
  eprint = {1501.04049},
  eprinttype = {arxiv},
  eprintclass = {math},
  pages = {3--43},
  doi = {10.1007/978-1-4939-2830-9_1},
  url = {http://arxiv.org/abs/1501.04049},
  urldate = {2022-06-07},
  abstract = {These notes will give an introduction to the theory of K3 surfaces. We begin with some general results on K3 surfaces, including the construction of their moduli space and some of its properties. We then move on to focus on the theory of polarized K3 surfaces, studying their moduli, degenerations and the compactification problem. This theory is then further enhanced to a discussion of lattice polarized K3 surfaces, which provide a rich source of explicit examples, including a large class of lattice polarizations coming from elliptic fibrations. Finally, we conclude by discussing the ample and Kahler cones of K3 surfaces, and give some of their applications.},
  keywords = {valery-recommended},
  file = {/home/zack/Zotero/storage/HGU2NFC2/Harder and Thompson - 2015 - The Geometry and Moduli of K3 Surfaces.pdf}
}

@article{hu13the-compactifications,
  title = {The Compactifications of Moduli Spaces of {{Burniat}} Surfaces with 2≤{{K}}²≤5},
  author = {Hu, Xiaoyan},
  date = {2013},
  journaltitle = {arXiv}
}

@thesis{hu14compactifications-of-moduli,
  title = {The Compactifications of Moduli Spaces of {{Burniat}} Surfaces with 2≤{{K}}² ≤5},
  author = {Hu, Xiaoyan},
  date = {2014},
  institution = {University of Georgia}
}

@article{hu2008toric-degenerations,
  title = {Toric Degenerations of {{GIT}} Quotients, {{Chow}} Quotients, and {{M̅}}{\textsubscript{0,}}{{{\textsubscript{N}}}}},
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  date = {2008},
  journaltitle = {Asian J. Math.},
  volume = {12},
  number = {1},
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  doi = {10.4310/AJM.2008.v12.n1.a3},
  url = {http://dx.doi.org/10.4310/AJM.2008.v12.n1.a3},
  fjournal = {Asian Journal of Mathematics},
  mrclass = {14H10 (14L24 14M15)},
  mrnumber = {2415010},
  mrreviewer = {Martin G. Gulbrandsen}
}

@book{hulek1993moduli-spaces,
  title = {Moduli Spaces of Abelian Surfaces: Compactification, Degenerations, and Theta Functions},
  author = {Hulek, K. and Kahn, C. and Weintraub, S.H.},
  date = {1993},
  series = {{{d}}e {{Gruyter}} Expositions in Mathematics},
  volume = {12},
  publisher = {WALTG},
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}

@book{Hun96,
  title = {The Geometry of Some Special Arithmetic Quotients},
  author = {Hunt, Bruce},
  date = {1996},
  series = {Lecture Notes in Mathematics},
  number = {1637},
  publisher = {Springer},
  location = {Berlin Heidelberg New York},
  isbn = {978-3-540-61795-2},
  langid = {english},
  pagetotal = {332},
  file = {/home/zack/Zotero/storage/2HY4CPNL/Hunt - 1996 - The geometry of some special arithmetic quotients.pdf}
}

@book{Huy16,
  title = {Lectures on {{K3 Surfaces}}},
  author = {Huybrechts, Daniel},
  date = {2016},
  publisher = {Cambridge University Press},
  location = {Cambridge},
  doi = {10.1017/CBO9781316594193},
  url = {http://ebooks.cambridge.org/ref/id/CBO9781316594193},
  urldate = {2022-06-07},
  isbn = {978-1-316-59419-3},
  langid = {english},
  keywords = {valery-recommended},
  file = {/home/zack/Zotero/storage/FKYJCUPN/Huybrechts - 2016 - Lectures on K3 Surfaces.pdf}
}

@book{huybrechts2016lectures-on-k3,
  title = {Lectures on {{K3}} Surfaces},
  author = {Huybrechts, Daniel},
  date = {2016},
  series = {Cambridge Studies in Advanced Mathematics},
  volume = {158},
  pages = {xi+485},
  publisher = {Cambridge University Press, Cambridge},
  doi = {10.1017/CBO9781316594193},
  url = {https://doi.org/10.1017/CBO9781316594193},
  isbn = {978-1-107-15304-2},
  mrclass = {14J28},
  mrnumber = {3586372},
  mrreviewer = {Shigeyuki Kondo}
}

@article{hwang2011maximum-number,
  title = {The Maximum Number of Singular Points on Rational Homology Projective Planes},
  author = {Hwang, Dongseon and Keum, Jonghae},
  date = {2011},
  journaltitle = {J. Algebraic Geom.},
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  number = {3},
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  url = {http://dx.doi.org/10.1090/S1056-3911-10-00532-1},
  fjournal = {Journal of Algebraic Geometry},
  mrclass = {14J25 (14J17 14J28)},
  mrnumber = {2786664},
  mrreviewer = {G. K. Sankaran}
}

@article{hwang2012construction-singular,
  title = {Construction of Singular Rational Surfaces of {{Picard}} Number One with Ample Canonical Divisor},
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  date = {2012},
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  url = {http://dx.doi.org/10.1090/S0002-9939-2011-11038-4},
  fjournal = {Proceedings of the American Mathematical Society},
  mrclass = {14J26 (14C20)},
  mrnumber = {2888175},
  mrreviewer = {Karol Palka}
}

@article{iacono2006local-structure,
  title = {Local Structure of Abelian Covers},
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  date = {2006},
  journaltitle = {J. Algebra},
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  coden = {JALGA4},
  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {Journal of Algebra},
  mrclass = {14E20},
  mrnumber = {2236759 (2007d:14034)},
  mrreviewer = {Gianfranco Casnati}
}

@article{igusa1956fiber-systems,
  title = {Fiber Systems of {{Jacobian}} Varieties},
  author = {Igusa, J.},
  date = {1956},
  journaltitle = {Amer. J. Math.},
  volume = {78},
  pages = {171--199},
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@article{igusa1967a-desingularization-problem,
  title = {A Desingularization Problem in the Theory of {{Siegel}} Modular Functions},
  author = {Igusa, Jun-ichi},
  date = {1967},
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  pages = {228--260},
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  fjournal = {Mathematische Annalen},
  mrclass = {14.18},
  mrnumber = {0218352 (36 \#1439)},
  mrreviewer = {I. Satake}
}

@book{igusa1972theta-functions,
  title = {Theta Functions},
  author = {Igusa, J.},
  date = {1972},
  series = {Die {{Grundlehren}} Der Mathematischen {{Wissenschaften}} in {{Einzeldarstellunden}}},
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}

@book{iitaka1982algebraic-geometry.,
  title = {Algebraic {{Geometry}}. {{An Introduction}} to {{Birational Geometry}} of {{Algebraic Varieties}}},
  author = {Iitaka, S.},
  date = {1982},
  series = {Graduate Texts in Mathematics},
  volume = {76},
  publisher = {Springer-Verlag New York, Inc.},
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@article{Il79,
  title = {Complexe de {{deRham-Witt}} et Cohomologie Cristalline},
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  date = {1979},
  journaltitle = {Annales scientifiques de l’École normale supérieure},
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}

@article{iliev2011fano-manifolds,
  title = {Fano Manifolds of Degree Ten and {{EPW}} Sextics},
  author = {Iliev, Atanas and Manivel, Laurent},
  date = {2011},
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  volume = {44},
  number = {3},
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@online{KLSV18,
  title = {Remarks on Degenerations of Hyper-{{K}}\textbackslash "ahler Manifolds},
  author = {Kollár, János and Laza, Radu and Saccà, Giulia and Voisin, Claire},
  date = {2018-10-23},
  eprint = {1704.02731},
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  urldate = {2024-01-28},
  abstract = {Using the Minimal Model Program, any degeneration of K-trivial varieties can be arranged to be in a Kulikov type form, i.e. with trivial relative canonical divisor and mild singularities. In the hyper-K\textbackslash "ahler setting, we can then deduce a finiteness statement for monodromy acting on \$H\textasciicircum 2\$, once one knows that one component of the central fiber is not uniruled. Independently of this, using deep results from the geometry of hyper-K\textbackslash "ahler manifolds, we prove that a finite monodromy projective degeneration of hyper-K\textbackslash "ahler manifolds has a smooth filling (after base change and birational modifications). As a consequence of these two results, we prove a generalization of Huybrechts' theorem about birational versus deformation equivalence, allowing singular central fibers. As an application, we give simple proofs for the deformation type of certain geometric constructions of hyper-K\textbackslash "ahler manifolds (e.g. Debarre--Voisin or Laza--Sacc\textbackslash `a--Voisin). In a slightly different direction, we establish some basic properties (dimension and rational homology type) for the dual complex of a Kulikov type degeneration of hyper-K\textbackslash "ahler manifolds.},
  pubstate = {preprint},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/zack/Downloads/Zotero_Source/arXiv/2018/Kollár et al. - 2018 - Remarks on degenerations of hyper-Kahler manifol.pdf}
}

@book{KM98,
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@misc{knutsen2020moduli,
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@unpublished{Kol18,
  title = {Algebraic Hypersurfaces},
  author = {Kollár, János},
  date = {2018-10-05},
  eprint = {1810.02861},
  eprinttype = {arxiv},
  eprintclass = {math},
  publisher = {arXiv},
  url = {http://arxiv.org/abs/1810.02861},
  urldate = {2022-06-12},
  abstract = {We give an introduction to the study of algebraic hypersurfaces, focusing on the problem of when two hypersurfaces are isomorphic or close to being isomorphic. Working with hypersurfaces and emphasizing examples makes it possible to discuss these questions without any previous knowledge of algebraic geometry. At the end we formulate the main recent results and state the most important open questions.},
  keywords = {Mathematics - Algebraic Geometry,Mathematics - History and Overview},
  file = {/home/zack/Zotero/storage/4SYWVPHF/Kollár - 2018 - Algebraic hypersurfaces.pdf}
}

@article{Kol19,
  title = {Algebraic Hypersurfaces},
  author = {Kollár, János},
  date = {2019-01-28},
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  urldate = {2022-06-12},
  abstract = {We give an introduction to the study of algebraic hypersurfaces, focusing on the problem of when two hypersurfaces are isomorphic or close to being isomorphic. Working with hypersurfaces and emphasizing examples makes it possible to discuss these questions without any previous knowledge of algebraic geometry. At the end we formulate the main recent results and state the most important open questions.},
  langid = {english},
  file = {/home/zack/Zotero/storage/GYALL5N6/Kollár - 2019 - Algebraic hypersurfaces.pdf}
}

@article{Kol19a,
  title = {Algebraic Hypersurfaces},
  author = {Kollár, János},
  date = {2019-01-28},
  journaltitle = {Bull. Amer. Math. Soc.},
  volume = {56},
  number = {4},
  pages = {543--568},
  issn = {0273-0979, 1088-9485},
  doi = {10.1090/bull/1663},
  url = {https://www.ams.org/bull/2019-56-04/S0273-0979-2019-01663-2/},
  urldate = {2022-06-12},
  abstract = {We give an introduction to the study of algebraic hypersurfaces, focusing on the problem of when two hypersurfaces are isomorphic or close to being isomorphic. Working with hypersurfaces and emphasizing examples makes it possible to discuss these questions without any previous knowledge of algebraic geometry. At the end we formulate the main recent results and state the most important open questions.},
  langid = {english},
  file = {/home/zack/Zotero/storage/68SZD9MT/Kollár - 2019 - Algebraic hypersurfaces.pdf}
}

@book{Kol23,
  title = {Families of Varieties of General Type},
  author = {Kollár, János},
  date = {2023},
  series = {Cambridge Tracts in Mathematics},
  volume = {231},
  pages = {xviii+471},
  publisher = {Cambridge University Press, Cambridge},
  isbn = {978-1-00-934610-8},
  mrclass = {14J10 (14D20 14E30 14J29)},
  mrnumber = {4566297}
}

@book{Kol23,
  title = {Families of Varieties of General Type},
  author = {Kollár, János},
  date = {2023},
  series = {Cambridge Tracts in Mathematics},
  volume = {231},
  pages = {xviii+471},
  publisher = {Cambridge University Press, Cambridge},
  isbn = {978-1-00-934610-8},
  mrclass = {14J10 (14D20 14E30 14J29)},
  mrnumber = {4566297}
}

@book{Kol23,
  title = {Families of {{Varieties}} of {{General Type}}},
  author = {Kollár, János},
  date = {2023},
  series = {Cambridge {{Tracts}} in {{Mathematics}}},
  publisher = {Cambridge University Press},
  location = {Cambridge},
  doi = {10.1017/9781009346115},
  url = {https://www.cambridge.org/core/books/families-of-varieties-of-general-type/423EBD2D90435E5EA8AAC69CE0E6EFD1},
  urldate = {2024-01-28},
  abstract = {This book establishes the moduli theory of stable varieties, giving the optimal approach to understanding families of varieties of general type. Starting from the Deligne–Mumford theory of the moduli of curves and using Mori's program as a main tool, the book develops the techniques necessary for a theory in all dimensions. The main results give all the expected general properties, including a projective coarse moduli space. A wealth of previously unpublished material is also featured, including Chapter 5 on numerical flatness criteria, Chapter 7 on K-flatness, and Chapter 9 on hulls and husks.},
  isbn = {978-1-00-934610-8},
  file = {/home/zack/Zotero/storage/NWCACJKM/Kollár - 2023 - Families of Varieties of General Type.pdf}
}

@article{Kol87,
  title = {The Structure of Algebraic Threefolds: An Introduction to {{Mori}}’s Program},
  shorttitle = {The Structure of Algebraic Threefolds},
  author = {Kollár, János},
  date = {1987},
  journaltitle = {Bull. Amer. Math. Soc.},
  volume = {17},
  number = {2},
  pages = {211--273},
  issn = {0273-0979, 1088-9485},
  doi = {10.1090/S0273-0979-1987-15548-0},
  url = {https://www.ams.org/bull/1987-17-02/S0273-0979-1987-15548-0/},
  urldate = {2022-06-20},
  langid = {english},
  file = {/home/zack/Zotero/storage/7TAGI664/Kollár - 1987 - The structure of algebraic threefolds an introduc.pdf}
}

@article{kollar-et-al.1992flips-and-abundance,
  title = {Flips and {{Abundance}} for {{Algebraic Threefolds}}},
  author = {Kollár et al., J.},
  date = {1992},
  journaltitle = {Astérisque},
  volume = {211},
  pages = {1--258},
  date-modified = {2012-12-26 19:59:11 +0000},
  key = {FAAT}
}

@article{kollar1981fano-varieties,
  title = {Fano varieties of large index},
  author = {Kollár, J.},
  date = {1981},
  journaltitle = {Vestnik Moskov. Univ. Ser. I Mat. Mech.},
  pages = {31--34},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Kollar81},
  langid = {russian}
}

@article{kollar1983riemann-roch-type,
  title = {Riemann-{{Roch}} Type Inequalities},
  author = {Kollár, J. and Matsusaka, T.},
  date = {1983},
  journaltitle = {Amer. J. Math.},
  volume = {105},
  pages = {229--252},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{kollar1984the-cone-theorem,
  title = {The {{Cone Theorem}}},
  author = {Kollár, J.},
  date = {1984},
  journaltitle = {ANNMA},
  volume = {120},
  pages = {1--5},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Kollar84}
}

@article{kollar1985toward-moduli,
  title = {Toward Moduli of Singular Varieties},
  author = {Kollár, János},
  date = {1985},
  journaltitle = {Compositio Math.},
  volume = {56},
  number = {3},
  pages = {369--398},
  issn = {0010-437X},
  url = {http://www.numdam.org/item?id=CM_1985__56_3_369_0},
  fjournal = {Compositio Mathematica},
  mrclass = {14D20 (14J10)},
  mrnumber = {814554},
  mrreviewer = {Daniel Comenetz}
}

@article{kollar1986higher-direct1,
  title = {Higher Direct Images of Dualizing Sheaves. {{I}}},
  author = {Kollár, János},
  date = {1986},
  journaltitle = {Ann. of Math. (2)},
  volume = {123},
  number = {1},
  pages = {11--42},
  issn = {0003-486X},
  coden = {ANMAAH},
  date-modified = {2021-02-22 21:28:34 -0500},
  fjournal = {Annals of Mathematics. Second Series},
  mrclass = {14J10 (14F10 14J30 14J40)},
  mrnumber = {MR825838 (87c:14038)},
  mrreviewer = {Takao Fujita},
  sauthor = {Kollár, J.}
}

@article{kollar1986higher-direct2,
  title = {Higher Direct Images of Dualizing Sheaves. {{II}}},
  author = {Kollár, János},
  date = {1986},
  journaltitle = {Ann. of Math. (2)},
  volume = {124},
  number = {1},
  pages = {171--202},
  issn = {0003-486X},
  coden = {ANMAAH},
  date-modified = {2021-02-22 21:28:41 -0500},
  fjournal = {Annals of Mathematics. Second Series},
  mrclass = {14F10 (14C30 14D99 32C35)},
  mrnumber = {MR847955 (87k:14014)},
  mrreviewer = {Takao Fujita},
  sauthor = {Kollár, J.}
}

@article{kollar1987the-structure-of-algebraic,
  title = {The Structure of Algebraic Three-Folds – an Introduction to {{Mori}}'s Program},
  author = {Kollár, J.},
  date = {1987},
  journaltitle = {BULAM},
  volume = {17},
  pages = {211--273},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Kollar87}
}

@article{kollar1988threefolds-and-deformations,
  title = {Threefolds and Deformations of Surface Singularities},
  author = {Kollár, J. and Shepherd-Barron, N. I.},
  date = {1988},
  journaltitle = {Invent. Math.},
  volume = {91},
  number = {2},
  pages = {299--338},
  issn = {0020-9910},
  coden = {INVMBH},
  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {Inventiones Mathematicae},
  mrclass = {14J10 (14D20 14J30 32G10 32G13)},
  mrnumber = {MR922803 (88m:14022)},
  mrreviewer = {Yujiro Kawamata}
}

@article{kollar1989flops,
  title = {Flops},
  author = {Kollár, J.},
  date = {1989},
  journaltitle = {Nagoya Math. J.},
  volume = {113},
  pages = {15--36},
  issn = {0027-7630},
  coden = {NGMJA2},
  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {Nagoya Mathematical Journal},
  fullauthor = {Kollár, János},
  mrclass = {14E05 (14J30 32J25)},
  mrnumber = {MR986434 (90e:14011)},
  mrreviewer = {Peter Nielsen}
}

@article{kollar1990projectivity-of-complete,
  title = {Projectivity of Complete Moduli},
  author = {Kollár, János},
  date = {1990},
  journaltitle = {J. Differential Geom.},
  volume = {32},
  number = {1},
  pages = {235--268},
  issn = {0022-040X},
  url = {http://projecteuclid.org/euclid.jdg/1214445046},
  coden = {JDGEAS},
  fjournal = {Journal of Differential Geometry},
  mrclass = {14D22 (14H10 14J10)},
  mrnumber = {1064874 (92e:14008)},
  mrreviewer = {Autorreferat}
}

@article{kollar1990rational-curves,
  title = {Rational Curves on {{Fano}} Varieties},
  author = {J. Kollár, Y.Miyaoka, S.Mori},
  date = {1990},
  journaltitle = {Classification of irregular varieties (Trento, 1990)},
  pages = {100--105},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@incollection{kollar1992log-surfaces-of-general,
  title = {Log {{Surfaces}} of {{General Type}}: {{Some Conjectures}}},
  author = {Kollár, J.},
  crossref = {1992classification-of-algebraic},
  date-modified = {2012-12-26 19:59:11 +0000},
  formertitle = {Kollar92}
}

@article{kollar1992rational-connectedness,
  title = {Rational Connectedness and Boundedness of {{Fano}} Varieties},
  author = {Kollár, J. and Miyaoka, Y. and Mori, S.},
  date = {1992},
  journaltitle = {J. Diff. Geom.},
  volume = {36},
  pages = {765--779},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{kollar1992rationally-connected,
  title = {Rationally Connected Varieties},
  author = {J. Kollár, Y.Miyaoka, S.Mori},
  date = {1992},
  journaltitle = {JALGG},
  volume = {1},
  pages = {429--448},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{kollar1993shafarevich-maps,
  title = {Shafarevich Maps and Plurigenera of Algebraic Varieties},
  author = {Kollár, J.},
  date = {1993},
  journaltitle = {Invent. Math.},
  volume = {113},
  number = {1},
  pages = {177--215},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Kollar93}
}

@incollection{kollar1994log-surfaces,
  title = {Log Surfaces of General Type; Some Conjectures},
  booktitle = {Classification of Algebraic Varieties ({{L}}'{{Aquila}}, 1992)},
  author = {Kollár, János},
  date = {1994},
  series = {Contemp. {{Math}}.},
  volume = {162},
  pages = {261--275},
  publisher = {Amer. Math. Soc., Providence, RI},
  doi = {10.1090/conm/162/01538},
  url = {http://dx.doi.org/10.1090/conm/162/01538},
  mrclass = {14J29 (14E05)},
  mrnumber = {1272703},
  mrreviewer = {Gang Xiao}
}

@article{kollar1994push-forward,
  title = {Push Forward and Base Change for Open Immersions},
  author = {Kollár, J.},
  date = {1994},
  journaltitle = {Lectures at Utah Summer Workshop on Moduli of Surfaces},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{kollar1995flatness-criteria,
  title = {Flatness Criteria},
  author = {Kollár, J.},
  date = {1995},
  journaltitle = {J. Algebra},
  volume = {175},
  number = {2},
  pages = {715--727},
  issn = {0021-8693},
  coden = {JALGA4},
  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {Journal of Algebra},
  mrclass = {14E40 (14C05)},
  mrnumber = {MR1339664 (96j:14010)},
  mrreviewer = {Jean-Claude Douai}
}

@book{kollar1996rational-curves,
  title = {Rational Curves on Algebraic Varieties},
  author = {Kollár, J.},
  date = {1996},
  series = {Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. {{Folge}}. {{A}} Series of Modern Surveys in Mathematics [{{Results}} in Mathematics and Related Areas. 3rd Series. {{A}} Series of Modern Surveys in Mathematics]},
  volume = {32},
  pages = {viii+320},
  publisher = {Springer-Verlag},
  location = {Berlin},
  date-modified = {2012-12-26 19:59:10 +0000},
  isbn = {3-540-60168-6},
  mrclass = {14-02 (14C05 14E05 14F17 14J45)},
  mrnumber = {MR1440180 (98c:14001)},
  mrreviewer = {Yuri G. Prokhorov}
}

@article{kollar1997quotient-spaces,
  title = {Quotient Spaces modulo Algebraic Groups},
  author = {Kollár, János},
  date = {1997},
  journaltitle = {Ann. of Math. (2)},
  volume = {145},
  number = {1},
  pages = {33--79},
  issn = {0003-486X},
  coden = {ANMAAH},
  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {Annals of Mathematics. Second Series},
  mrclass = {14D25 (14L30)},
  mrnumber = {MR1432036 (97m:14013)},
  mrreviewer = {Andrzej Białynicki-Birula},
  sauthor = {Kollár, J.}
}

@incollection{kollar1997singularities-of-pairs,
  title = {Singularities of Pairs},
  booktitle = {Algebraic Geometry—{{Santa}} Cruz 1995},
  author = {Kollár, János},
  date = {1997},
  series = {Proc. {{Sympos}}. {{Pure}} Math.},
  volume = {62},
  pages = {221--287},
  publisher = {Amer. Math. Soc.},
  location = {Providence, RI},
  date-modified = {2012-12-26 19:59:10 +0000},
  mrclass = {14E30 (14E15 32S40)},
  mrnumber = {MR1492525 (99m:14033)},
  mrreviewer = {Alessio Corti},
  sauthor = {Kollár, J.}
}

@book{kollar1998birational-geometry,
  title = {Birational Geometry of Algebraic Varieties},
  author = {Kollár, János and Mori, Shigefumi},
  date = {1998},
  series = {Cambridge Tracts in Mathematics},
  volume = {134},
  pages = {viii+254},
  publisher = {Cambridge University Press, Cambridge},
  doi = {10.1017/CBO9780511662560},
  url = {https://doi.org/10.1017/CBO9780511662560},
  isbn = {0-521-63277-3},
  mrclass = {14E30},
  mrnumber = {1658959},
  mrreviewer = {Mark Gross}
}

@incollection{kollar2007kodairas-canonical,
  title = {Kodaira's Canonical Bundle Formula and Adjunction},
  booktitle = {Flips for 3-Folds and 4-Folds},
  author = {Kollár, János},
  date = {2007},
  series = {Oxford Lecture Ser. {{Math}}. {{Appl}}.},
  volume = {35},
  pages = {134--162},
  publisher = {Oxford Univ. Press},
  location = {Oxford},
  date-modified = {2012-12-26 19:59:10 +0000},
  mrclass = {14E30 (14N30)},
  mrnumber = {MR2359346},
  sauthor = {Kollár, J.}
}

@unpublished{kollar2007two-examples-of-surfaces,
  title = {Two Examples of Surfaces with Normal Crossing Singularities},
  author = {Kollár, J.},
  date = {2007},
  eprint = {0705.0926},
  eprinttype = {arxiv},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@unpublished{kollar2008hulls-and-husks,
  title = {Hulls and {{Husks}}},
  author = {Kollár, J.},
  date = {2008},
  eprint = {0805.0576},
  eprinttype = {arxiv},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{kollar2008is-there,
  title = {Is There a Topological {{Bogomolov-Miyaoka-Yau}} Inequality?},
  author = {Kollár, János},
  date = {2008},
  journaltitle = {Pure Appl. Math. Q.},
  volume = {4},
  pages = {203--236},
  issn = {1558-8599},
  doi = {10.4310/PAMQ.2008.v4.n2.a1},
  url = {http://dx.doi.org/10.4310/PAMQ.2008.v4.n2.a1},
  fjournal = {Pure and Applied Mathematics Quarterly},
  issue = {2, Special Issue: In honor of Fedor Bogomolov. Part 1},
  mrclass = {14J80 (14J17 57N13)},
  mrnumber = {2400877},
  mrreviewer = {Arnaud Beauville}
}

@article{kollar2010-dubois,
  title = {Log Canonical Singularities Are {{Du Bois}}},
  author = {Kollár, János and Kovács, Sándor J.},
  date = {2010},
  journaltitle = {J. Amer. Math. Soc.},
  volume = {23},
  number = {3},
  pages = {791--813},
  issn = {0894-0347,1088-6834},
  doi = {10.1090/S0894-0347-10-00663-6},
  url = {https://doi.org/10.1090/S0894-0347-10-00663-6},
  fjournal = {Journal of the American Mathematical Society},
  mrclass = {14J17 (14B07 14E30)},
  mrnumber = {2629988},
  mrreviewer = {Ali Sinan Sertöz}
}

@incollection{kollar2013moduli-of-varieties,
  title = {Moduli of Varieties of General Type},
  booktitle = {Handbook of Moduli. {{Vol}}. {{II}}},
  author = {Kollár, János},
  date = {2013},
  series = {Adv. {{Lect}}. {{Math}}. ({{ALM}})},
  volume = {25},
  pages = {131--157},
  publisher = {Int. Press, Somerville, MA},
  mrclass = {14D20 (14D22)},
  mrnumber = {3184176},
  mrreviewer = {Nicolae Manolache}
}

@incollection{kollar2013moduli-varieties,
  title = {Moduli of Varieties of General Type},
  booktitle = {Handbook of Moduli. {{Vol}}. {{II}}},
  author = {Kollár, János},
  date = {2013},
  series = {Adv. {{Lect}}. {{Math}}. ({{ALM}})},
  volume = {25},
  pages = {131--157},
  publisher = {Int. Press, Somerville, MA},
  mrclass = {14D20 (14D22)},
  mrnumber = {3184176},
  mrreviewer = {Nicolae Manolache}
}

@book{kollar2013singularities-of-the-minimal,
  title = {Singularities of the Minimal Model Program},
  author = {Kollár, János},
  date = {2013},
  series = {Cambridge Tracts in Mathematics},
  volume = {200},
  pages = {x+370},
  publisher = {Cambridge University Press, Cambridge},
  doi = {10.1017/CBO9781139547895},
  url = {http://dx.doi.org/10.1017/CBO9781139547895},
  isbn = {978-1-107-03534-8},
  mrclass = {14E30 (14B05)},
  mrnumber = {3057950},
  mrreviewer = {Tommaso De Fernex}
}

@incollection{kollar2015book-on-moduli,
  title = {Book on {{Moduli}} of {{Surfaces}} — Ongoing Project},
  author = {Kollár, János},
  date = {2015},
  optnote = {Available at https://web.math.princeton.edu/\textasciitilde kollar}
}

@article{kollar2019moduli-of-polarized,
  title = {Moduli of Polarized {{Calabi-Yau}} Pairs},
  author = {Kollár, János and Xu, Chen Yang},
  date = {2020},
  journaltitle = {Acta Math. Sin. (Engl. Ser.)},
  volume = {36},
  number = {6},
  pages = {631--637},
  issn = {1439-8516},
  doi = {10.1007/s10114-020-9300-x},
  url = {https://doi.org/10.1007/s10114-020-9300-x},
  fjournal = {Acta Mathematica Sinica (English Series)},
  mrclass = {14J10 (14D06 14E30 14J32)},
  mrnumber = {4110324}
}

@unpublished{kollar2019moduli-polarized,
  title = {Moduli of Polarized {{Calabi-Yau}} Pairs},
  author = {Kollár, János and Xu, Chenyang},
  date = {2019},
  eprint = {1906.05907},
  eprinttype = {arxiv}
}

@book{kollar2021families-of-varieties,
  title = {Families of Varieties of General Type},
  author = {Kollár, János},
  date = {2021},
  publisher = {To appear}
}

@book{kollar2022book-on-moduli,
  title = {Families of Varieties of General Type},
  author = {Kollár, János},
  date = {2022},
  optnote = {Available at https://web.math.princeton.edu/\textasciitilde kollar}
}

@book{kollar2023families-of-varieties,
  title = {Families of Varieties of General Type},
  author = {Kollár, János},
  date = {2023},
  series = {Cambridge Tracts in Mathematics},
  volume = {231},
  pages = {xviii+471},
  publisher = {Cambridge University Press, Cambridge},
  isbn = {978-1-00-934610-8},
  mrclass = {Prelim},
  mrnumber = {4566297}
}

@article{Kon22,
  title = {Coble Surfaces with Finite Automorphism Group},
  author = {Kondō, Shigeyuki},
  date = {2022-08},
  journaltitle = {Rend. Circ. Mat. Palermo, II. Ser},
  volume = {71},
  number = {2},
  pages = {829--864},
  issn = {0009-725X, 1973-4409},
  doi = {10.1007/s12215-021-00646-2},
  url = {https://link.springer.com/10.1007/s12215-021-00646-2},
  urldate = {2024-01-10},
  abstract = {We classify Coble surfaces with finite automorphism group in characteristic p ≥ 0, p ≠ 2{$\mkern1mu$}. There are exactly 9 isomorphism classes of such surfaces.},
  langid = {english},
  file = {/home/zack/Zotero/storage/9VXX7NL5/Kondō - 2022 - Coble surfaces with finite automorphism group.pdf}
}

@article{kondo1989algebraic-k3,
  title = {Algebraic {{K3}} Surfaces with Finite Automorphism Groups},
  author = {Kondō, Shigeyuki},
  date = {1989},
  journaltitle = {Nagoya Math. J.},
  volume = {116},
  pages = {1--15},
  issn = {0027-7630},
  url = {http://projecteuclid.org/euclid.nmj/1118781424},
  coden = {NGMJA2},
  fjournal = {Nagoya Mathematical Journal},
  mrclass = {14J28 (11E99 14J50)},
  mrnumber = {1029967 (91b:14050)},
  mrreviewer = {Jong Hae Keum}
}

@article{kondo1993on-the-kodaira-dimension,
  title = {On the {{Kodaira}} Dimension of the Moduli Space of {{K3}} Surfaces},
  author = {Kondō, Shigeyuki},
  date = {1993},
  journaltitle = {Compositio Math.},
  volume = {89},
  number = {3},
  pages = {251--299},
  issn = {0010-437X},
  url = {http://www.numdam.org/item?id=CM₁993<sub>₈</sub>9₃₂51₀},
  coden = {CMPMAF},
  fjournal = {Compositio Mathematica},
  mrclass = {14J10 (14J28)},
  mrnumber = {1255698 (95j:14040)},
  mrreviewer = {Jong Hae Keum}
}

@article{kondo1994the-rationality,
  title = {The Rationality of the Moduli Space of {{Enriques}} Surfaces},
  author = {Kondo, Shigeyuki},
  date = {1994},
  journaltitle = {Compositio Math.},
  volume = {91},
  number = {2},
  pages = {159--173},
  issn = {0010-437X,1570-5846},
  url = {http://www.numdam.org/item?id=CM_1994__91_2_159_0},
  fjournal = {Compositio Mathematica},
  mrclass = {14J28 (14D20 14J10)},
  mrnumber = {1273647},
  mrreviewer = {Duco van Straten}
}

@article{kondo1998niemeier-lattices,
  title = {Niemeier Lattices, {{Mathieu}} Groups, and Finite Groups of Symplectic Automrphisms of {{K3}} Surfaces},
  author = {Kondo, Shigeyuki},
  date = {1998},
  journaltitle = {Duke Math. J.}
}

@article{kondo1998the-automorphism-group,
  title = {The Automorphism Group of a Generic {{Jacobian Kummer}} Surface},
  author = {Kondō, Shigeyuki},
  date = {1998},
  journaltitle = {J. Algebraic Geom.},
  volume = {7},
  number = {3},
  pages = {589--609},
  issn = {1056-3911},
  fjournal = {Journal of Algebraic Geometry},
  mrclass = {14J28 (14J50 51F15)},
  mrnumber = {1618132 (99i:14043)},
  mrreviewer = {Jong Hae Keum}
}

@book{kondo2020k3-surfaces,
  title = {K3 Surfaces},
  author = {Kondō, Shigeyuki},
  date = {2020},
  volume = {32},
  publisher = {EMS Tracts in Mathematics}
}

@article{kontsevich1994enumeration-of-rational,
  title = {Enumeration of Rational Curves via Torus Action},
  author = {Kontsevich, M.},
  date = {1994},
  journaltitle = {PREPR},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{kontsevich1994gromov-witten-classes,
  title = {Gromov-{{Witten}} Classes, Quntum Cohomology, and Enumerative Geometry},
  author = {Kontsevich, M. and Manin, Yu.},
  date = {1994},
  journaltitle = {pr},
  date-modified = {2012-12-26 19:59:10 +0000}
}

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  abstract = {We prove that the irreducible components of the moduli space of polarized Calabi-Yau pairs are projective.},
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@unpublished{Laz14,
  title = {Perspectives on the Construction and Compactification of Moduli Spaces},
  author = {Laza, Radu},
  date = {2014-03-09},
  eprint = {1403.2105},
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  eprintclass = {math},
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  url = {http://arxiv.org/abs/1403.2105},
  urldate = {2022-06-07},
  abstract = {In these notes, we introduce various approaches (GIT, Hodge theory, and KSBA) to constructing and compactifying moduli spaces. We then discuss the pros and cons for each approach, as well as some connections between them.},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/zack/Zotero/storage/R5F4M6YD/Laza - 2014 - Perspectives on the construction and compactificat.pdf}
}

@online{Laz16,
  title = {The {{KSBA}} Compactification for the Moduli Space of Degree Two {{K3}} Pairs},
  author = {Laza, Radu},
  date = {2012-05-14},
  eprint = {1205.3144},
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  doi = {10.48550/arXiv.1205.3144},
  url = {http://arxiv.org/abs/1205.3144},
  urldate = {2024-01-29},
  abstract = {Inspired by the ideas of the minimal model program, Shepherd-Barron, Koll\textbackslash 'ar, and Alexeev have constructed a geometric compactification for the moduli space of surfaces of log general type. In this paper, we discuss one of the simplest examples that fits into this framework: the case of pairs (X,H) consisting of a degree two K3 surface X and an ample divisor H. Specifically, we construct and describe explicitly a geometric compactification \$\textbackslash bar\{P\_2\}\$ for the moduli of degree two K3 pairs. This compactification has a natural forgetful map to the Baily-Borel compactification of the moduli space \$F\_2\$ of degree two K3 surfaces. Using this map and the modular meaning of \$\textbackslash bar\{P\_2\}\$, we obtain a better understanding of the geometry of the standard compactifications of \$F\_2\$.},
  pubstate = {preprint},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/zack/Zotero/storage/PBQ32RQC/Laza - 2012 - The KSBA compactification for the moduli space of .pdf}
}

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@article{laza2016ksba-compactification,
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@article{laza2021git-versus,
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  url = {http://arxiv.org/abs/math/0110255},
  urldate = {2022-06-12},
  abstract = {We study the motivic Grothendieck group of algebraic varieties from the point of view of stable birational geometry. In particular, we obtain a counter-example to a conjecture of M. Kapranov on the rationality of motivic zeta-function.},
  keywords = {14E05,14F42,Mathematics - Algebraic Geometry},
  file = {/home/zack/Zotero/storage/U875QPFS/Larsen and Lunts - 2001 - Motivic measures and stable birational geometry.pdf}
}

@article{LO19,
  title = {Birational Geometry of the Moduli Space of Quartic  Surfaces},
  author = {Laza, Radu and O'Grady, Kieran},
  date = {2019-08},
  journaltitle = {Compositio Mathematica},
  volume = {155},
  number = {9},
  pages = {1655--1710},
  publisher = {Wiley},
  doi = {10.1112/s0010437x19007516},
  url = {https://doi.org/10.1112%2Fs0010437x19007516}
}

@article{LO21,
  title = {{$<$}a Href="{{https://doi.org/10.1016/j.aim.2021.107680"$>$}}{{GIT versus Baily-Borel compactification for K3's which are double covers of P¹×P¹}}{$<$}/A{$>$}},
  author = {Laza, Radu and O'Grady, Kieran},
  date = {2021},
  journaltitle = {Adv. Math.},
  volume = {383},
  pages = {Paper No. 107680, 63},
  issn = {0001-8708},
  doi = {10.1016/j.aim.2021.107680},
  url = {https://doi.org/10.1016/j.aim.2021.107680},
  fjournal = {Advances in Mathematics},
  mrclass = {14L24 (14J28)},
  mrnumber = {4233275}
}

@article{LO21,
  title = {{$<$}a Href="{{https://doi.org/10.1016/j.aim.2021.107680"$>$}}{{GIT versus Baily-Borel compactification for K3's which are double covers of P¹×P¹}}{$<$}/A{$>$}},
  author = {Laza, Radu and O'Grady, Kieran},
  date = {2021},
  journaltitle = {Adv. Math.},
  volume = {383},
  pages = {Paper No. 107680, 63},
  issn = {0001-8708},
  doi = {10.1016/j.aim.2021.107680},
  url = {https://doi.org/10.1016/j.aim.2021.107680},
  fjournal = {Advances in Mathematics},
  mrclass = {14L24 (14J28)},
  mrnumber = {4233275}
}

@online{LO21,
  title = {{{GIT}} versus {{Baily-Borel}} Compactification for \${{K3}}\$'s Which Are Double Covers of \$\textbackslash mathbb {{P}}\textasciicircum 1\textbackslash times\textbackslash mathbb {{P}}\textasciicircum 1\$},
  author = {Laza, Radu and O'Grady, Kieran},
  date = {2018-08-24},
  eprint = {1801.04845},
  eprinttype = {arxiv},
  eprintclass = {math},
  doi = {10.48550/arXiv.1801.04845},
  url = {http://arxiv.org/abs/1801.04845},
  urldate = {2024-01-29},
  abstract = {In previous work, we have introduced a program aimed at studying the birational geometry of locally symmetric varieties of Type IV associated to moduli of certain projective varieties of K3 type. In particular, a concrete goal of our program is to understand the relationship between GIT and Baily-Borel compactifications for quartic K3 surfaces, K3's which are double covers of a smooth quadric surface, and double EPW sextics. In our first paper (arXiv:1607.01324), based on arithmetic considerations, we have given conjectural decompositions into simple birational transformations of the period maps from the GIT moduli spaces mentioned above to the corresponding Baily-Borel compactifications. In our second paper (arXiv:1612.07432) we studied the case of quartic K3's; we have given geometric meaning to this decomposition and we have partially verified our conjectures. Here, we give a full proof of our conjectures for the moduli space of K3's which are double covers of a smooth quadric surface. The main new tool here is VGIT for (2,4) complete intersection curves.},
  pubstate = {preprint},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/zack/Zotero/storage/IURYM2ME/Laza and O'Grady - 2018 - GIT versus Baily-Borel compactification for $K3$'s.pdf}
}

@article{loera1996nonregular-triangulations,
  title = {Nonregular Triangulations of Products of Simplices},
  author = {Loera, J.A.},
  date = {1996},
  journaltitle = {DISCG},
  volume = {15},
  pages = {253--264},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{loera1996the-polytope-of-all-triangulations,
  title = {The Polytope of All Triangulations of a Point Configuration},
  author = {de Loera, J.A. and Hoşten, S. and Santos, F. and {B.Sturmfels}},
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  journaltitle = {DOCUM},
  volume = {1},
  number = {04},
  pages = {103--119},
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}

@article{Loo03,
  title = {Compactifications Defined by Arrangements. {{II}}. {{Locally}} Symmetric Varieties of Type {{IV}}},
  author = {Looijenga, Eduard},
  date = {2003},
  journaltitle = {Duke Math. J.},
  volume = {119},
  number = {3},
  pages = {527--588},
  issn = {0012-7094},
  doi = {10.1215/S0012-7094-03-11933-X},
  fjournal = {Duke Mathematical Journal},
  mrclass = {14J15 (14J27 32S22)},
  mrnumber = {2003125},
  mrreviewer = {Dan Avritzer}
}

@article{Loo03,
  title = {Compactifications Defined by Arrangements. {{II}}. {{Locally}} Symmetric Varieties of Type {{IV}}},
  author = {Looijenga, Eduard},
  date = {2003},
  journaltitle = {Duke Math. J.},
  volume = {119},
  number = {3},
  pages = {527--588},
  issn = {0012-7094},
  doi = {10.1215/S0012-7094-03-11933-X},
  fjournal = {Duke Mathematical Journal},
  mrclass = {14J15 (14J27 32S22)},
  mrnumber = {2003125},
  mrreviewer = {Dan Avritzer}
}

@online{Loo03,
  title = {Compactifications Defined by Arrangements {{II}}: Locally Symmetric Varieties of Type {{IV}}},
  shorttitle = {Compactifications Defined by Arrangements {{II}}},
  author = {Looijenga, Eduard},
  date = {2002-04-26},
  eprint = {math/0201218},
  eprinttype = {arxiv},
  doi = {10.48550/arXiv.math/0201218},
  url = {http://arxiv.org/abs/math/0201218},
  urldate = {2024-01-29},
  abstract = {We define a new class of completions of locally symmetric varieties of type IV which interpolates between the Baily-Borel compactification and Mumford's toric compactifications. An arithmetic arrangement in a locally symmetric variety of type IV determines such a completion canonically. This completion admits a natural contraction that leaves the complement of the arrangement untouched. The resulting completion of the arrangement complement is very much like a Baily-Borel compactification: it is the proj of an algebra of meromorphic automorphic forms. When that complement has a moduli space interpretation, then what we get is often a compactification obtained by means of geometric invariant theory. We illustrate this with several examples: moduli spaces of polarized \$K3\$ and Enriques surfaces and the semi-universal deformation of a triangle singularity. We also discuss the question when a type IV arrangement is definable by an automorphic form.},
  pubstate = {preprint},
  keywords = {14J15,32N15,Mathematics - Algebraic Geometry},
  file = {/home/zack/Zotero/storage/44XD5NUR/Looijenga - 2002 - Compactifications defined by arrangements II loca.pdf}
}

@article{Loo76,
  title = {Root Systems and Elliptic Curves},
  author = {Looijenga, E.},
  date = {1976},
  journaltitle = {Inventiones mathematicae},
  volume = {38},
  pages = {17--32},
  issn = {0020-9910; 1432-1297/e},
  url = {https://eudml.org/doc/142440},
  urldate = {2024-01-29},
  langid = {und},
  file = {/home/zack/Zotero/storage/NPGVXZ8P/Looijenga - 1976 - Root Systems and Elliptic Curves.pdf}
}

@article{Loo78,
  title = {On the Semi-Universal Deformation of a Simple-Elliptic Hypersurface Singularity {{Part II}}: The Discriminant},
  shorttitle = {On the Semi-Universal Deformation of a Simple-Elliptic Hypersurface Singularity {{Part II}}},
  author = {Looijenga, Eduard},
  date = {1978-01-01},
  journaltitle = {Topology},
  volume = {17},
  number = {1},
  pages = {23--40},
  issn = {0040-9383},
  doi = {10.1016/0040-9383(78)90010-1},
  url = {https://www.sciencedirect.com/science/article/pii/0040938378900101},
  urldate = {2024-01-29},
  file = {/home/zack/Zotero/storage/DLA49CHC/Looijenga - 1978 - On the semi-universal deformation of a simple-elli.pdf}
}

@inproceedings{Loo86,
  title = {New Compactifications of Locally Symmetric Varieties},
  booktitle = {Proceedings of the 1984 {{Vancouver}} Conference in Algebraic Geometry},
  author = {Looijenga, Eduard},
  date = {1986},
  series = {{{CMS}} Conf. {{Proc}}.},
  volume = {6},
  pages = {341--364},
  publisher = {Amer. Math. Soc., Providence, RI},
  mrclass = {32M15 (14J15 14J28 32G13 32J05)},
  mrnumber = {846027 (87m:32072)},
  mrreviewer = {Yukihiko Namikawa}
}

@article{looijenga1976root,
  title = {Root Systems and Elliptic Curves},
  author = {Looijenga, Eduard},
  date = {1976},
  journaltitle = {Inventiones mathematicae},
  volume = {38},
  number = {1},
  pages = {17--32},
  publisher = {Springer},
  date-added = {2021-05-06 12:00:28 -0400},
  date-modified = {2021-05-06 12:00:28 -0400}
}

@article{looijenga1980torelli,
  title = {Torelli Theorems for {{Kähler K3}} Surfaces},
  author = {Looijenga, Eduard and Peters, Chris},
  date = {1980/0081},
  journaltitle = {Compositio Math.},
  volume = {42},
  number = {2},
  pages = {145--186},
  issn = {0010-437X},
  url = {https://mathscinet-ams-org.proxy-remote.galib.uga.edu/mathscinet-getitem?mr=596874},
  date-added = {2021-02-22 13:47:21 -0500},
  date-modified = {2021-02-22 13:47:34 -0500},
  fjournal = {Compositio Mathematica},
  mrclass = {32J15 (14J10)},
  mrnumber = {596874},
  mrreviewer = {Norman Goldstein}
}

@article{looijenga1985semi-toric,
  title = {Semi-Toric Partial Compactifications {{I}}},
  author = {Looijenga, Eduard},
  date = {1985},
  journaltitle = {Nijmegen preprint series},
  pages = {1--76}
}

@article{looijenga1986quadratic-functions,
  title = {Quadratic Functions and Smoothings of Surface Singularities},
  author = {Looijenga, E. and Wahl, J.},
  date = {1986},
  journaltitle = {Topology},
  volume = {25},
  pages = {261--291},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{looijenga2003compactifications-defined1,
  title = {Compactifications Defined by Arrangements. {{I}}. {{The}} Ball Quotient Case},
  author = {Looijenga, Eduard},
  date = {2003},
  journaltitle = {Duke Math. J.},
  volume = {118},
  number = {1},
  pages = {151--187},
  issn = {0012-7094},
  doi = {10.1215/S0012-7094-03-11816-5},
  url = {http://dx.doi.org/10.1215/S0012-7094-03-11816-5},
  coden = {DUMJAO},
  fjournal = {Duke Mathematical Journal},
  mrclass = {14J15 (14J27 32S22)},
  mrnumber = {1978885 (2004i:14042a)},
  mrreviewer = {Dan Avritzer}
}

@article{looijenga2003compactifications-defined2,
  title = {Compactifications Defined by Arrangements. {{II}}. {{Locally}} Symmetric Varieties of Type {{IV}}},
  author = {Looijenga, Eduard},
  date = {2003},
  journaltitle = {Duke Math. J.},
  volume = {119},
  number = {3},
  pages = {527--588},
  issn = {0012-7094},
  doi = {10.1215/S0012-7094-03-11933-X},
  url = {http://dx.doi.org/10.1215/S0012-7094-03-11933-X},
  coden = {DUMJAO},
  fjournal = {Duke Mathematical Journal},
  mrclass = {14J15 (14J27 32S22)},
  mrnumber = {2003125 (2004i:14042b)},
  mrreviewer = {Dan Avritzer}
}

@article{lopes2001a-connected-component,
  title = {A Connected Component of the Moduli Space of Surfaces with {{p=0}}},
  author = {Mendes Lopes, M. and Pardini, R.},
  date = {2001},
  journaltitle = {Topology},
  volume = {40},
  number = {5},
  pages = {977--991},
  issn = {0040-9383},
  coden = {TPLGAF},
  date-modified = {2012-12-26 19:59:10 +0000},
  fauthor = {Mendes Lopes, Margarida and Pardini, Rita},
  fjournal = {Topology. An International Journal of Mathematics},
  mrclass = {14J10 (14J29)},
  mrreviewer = {Atanas Iliev},
  optmrnumber = {MR1860538 (2002g:14052)}
}

@article{lopes2001connected-component,
  title = {A Connected Component of the Moduli Space of Surfaces with {{p g=0}}},
  author = {Mendes Lopes, M. and Pardini, R.},
  date = {2001},
  journaltitle = {Topology},
  volume = {40},
  number = {5},
  pages = {977--991},
  issn = {0040-9383},
  coden = {TPLGAF},
  fauthor = {Mendes Lopes, Margarida and Pardini, Rita},
  fjournal = {Topology. An International Journal of Mathematics},
  mrclass = {14J10 (14J29)},
  mrreviewer = {Atanas Iliev},
  optmrnumber = {MR1860538 (2002g:14052)}
}

@article{lopes2009campedelli-surfaces,
  title = {Campedelli Surfaces with Fundamental Group of Order 8},
  author = {Mendes Lopes, Margarida and Pardini, Rita and Reid, Miles},
  date = {2009},
  journaltitle = {Geom. Dedicata},
  volume = {139},
  pages = {49--55},
  issn = {0046-5755},
  doi = {10.1007/s10711-008-9317-2},
  url = {https://doi.org/10.1007/s10711-008-9317-2},
  fjournal = {Geometriae Dedicata},
  mrclass = {14J29},
  mrnumber = {2481836},
  mrreviewer = {Christian Liedtke}
}

@book{lorenzini1996an-invitation-to-arithmetic,
  title = {An Invitation to Arithmetic Geometry},
  author = {Lorenzini, Dino},
  date = {1996},
  series = {Graduate Studies in Mathematics},
  volume = {9},
  pages = {xvi+397},
  publisher = {American Mathematical Society},
  location = {Providence, RI},
  date-modified = {2012-12-26 19:59:10 +0000},
  isbn = {0-8218-0267-4},
  mrclass = {14G40 (11G20 14-01)},
  mrnumber = {MR1376367 (97e:14035)},
  mrreviewer = {I. Dolgachev},
  sauthor = {Lorenzini, D.}
}

@article{losev2000new-moduli-spaces,
  title = {New Moduli Spaces of Pointed Curves and Pencils of Flat Connections},
  author = {Losev, A. and Manin, Y.},
  date = {2000},
  journaltitle = {Michigan Math. J.},
  volume = {48},
  pages = {443--472},
  issn = {0026-2285},
  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {The Michigan Mathematical Journal},
  mrclass = {14N35 (14H10 53D45)},
  mrnumber = {MR1786500 (2002m:14044)},
  mrreviewer = {Andrew Kresch},
  optnote = {Dedicated to William Fulton on the occasion of his 60th birthday},
  sauthor = {Losev, A. and Manin, Y.}
}

@article{LS10,
  title = {The {{Grothendieck}} Ring of Varieties and Piecewise Isomorphisms},
  author = {Liu, Qing and Sebag, Julien},
  date = {2010-06-01},
  journaltitle = {Math. Z.},
  volume = {265},
  number = {2},
  pages = {321--342},
  issn = {1432-1823},
  doi = {10.1007/s00209-009-0518-7},
  url = {https://doi.org/10.1007/s00209-009-0518-7},
  urldate = {2022-06-15},
  abstract = {Let K0(Vark) be the Grothendieck ring of algebraic varieties over a field k. Let X, Y be two algebraic varieties over k which are piecewise isomorphic (i.e. X and Y admit finite partitions X1, ..., Xn, Y1, ..., Yninto locally closed subvarieties such that Xiis isomorphic to Yifor all i ≤ n), then [X] = [Y] in K0(Vark). Larsen and Lunts ask whether the converse is true. For characteristic zero and algebraically closed field k, we answer positively this question when dim X ≤ 1 or X is a smooth connected projective surface or if X contains only finitely many rational curves.},
  langid = {english},
  keywords = {Abelian Variety,Algebraic Variety,Characteristic Zero,Irreducible Component,Rational Curf}
}

@article{luna2001varietes-spheriques,
  title = {Variétés Sphériques de Type {{A}}},
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  date = {2001},
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  pages = {161--226},
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  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {Publications Mathématiques. Institut de Hautes Études Scientifiques},
  mrclass = {14L30 (32M12 57S20)},
  mrnumber = {MR1896179 (2003f:14056)},
  mrreviewer = {Friedrich Knop}
}

@article{machida1998on-k3-surfaces,
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  date = {1998},
  journaltitle = {J. Math. Sci. Univ. Tokyo},
  volume = {5},
  number = {2},
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  fjournal = {The University of Tokyo. Journal of Mathematical Sciences},
  mrclass = {14J28 (14J50)},
  mrnumber = {1633933},
  mrreviewer = {Shigeyuki Kondo}
}

@article{madsen2007stable-moduli,
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  fjournal = {Annals of Mathematics. Second Series},
  mrclass = {14H10 (14F43 19D06 55P47)},
  mrnumber = {2335797},
  mrreviewer = {Ulrike Tillmann}
}

@book{maeder1991programming-in-mathematica,
  title = {Programming in {{Mathematica}}},
  author = {Maeder, R.},
  date = {1991},
  edition = {2},
  publisher = {aw},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@misc{mathoverflow110511,
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  date = {2012}
}

@book{matsuki2002introduction-to-mori,
  title = {Introduction to the {{Mori}} Program},
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  series = {Universitext},
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  mrreviewer = {Massimiliano Mella}
}

@article{matsumoto1992the-monodromy,
  title = {The Monodromy of the Period Map of a 4-Parameter Family of {{K3}} Surfaces and the Hypergeometric Function of Type (3,6)},
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  fjournal = {International Journal of Mathematics},
  mrclass = {33C80 (14D05 14D25 14J28 33C70)},
  mrnumber = {1136204 (93a:33029)},
  mrreviewer = {I. Dolgachev}
}

@article{matsumoto2012matroid-enumeration,
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  number = {1},
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  mrclass = {05B35 (51A99 52C35 52C40)},
  mrnumber = {2886089},
  mrreviewer = {Winfried Hochstättler}
}

@unpublished{matsumoto2016degeneration,
  title = {Degeneration of {{K3}} Surfaces with Non-Symplectic Automorphisms},
  author = {Matsumoto, Yuya},
  date = {2016},
  eprint = {1612.07569},
  eprinttype = {arxiv}
}

@book{matsumura1980commutative-algebra,
  title = {Commutative Algebra},
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@book{matsumura1989commutative-ring,
  title = {Commutative Ring Theory},
  author = {Matsumura, Hideyuki},
  date = {1989},
  series = {Cambridge Studies in Advanced Mathematics},
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  pages = {xiv+320},
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@article{matsusaka1964two-fundamental-theorems,
  title = {Two Fundamental Theorems on Deformations of Polarized Varieties},
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  journaltitle = {Seminar on degeneration of algebraic varieties, Institut for Advanced Study, Princeton},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{mazur1992the-topology-of-rational,
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  journaltitle = {J. Exp. Math.},
  volume = {1},
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  date-modified = {2012-12-26 19:59:10 +0000},
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  abstract = {Let F be an ordered field, and let p denote the family of all convex polytopes in the d-dimensional vector space V over F. The universal abelian group ∏ corresponding to the translation invariant valuations on p has generators [P] for P ϵ p (with [⊘] = 0), satisfying the relations (V) [P ⌣ Q] + [P ⌢] = [P] + [Q] whenever P, Q, P ⌣ Q ϵ p, and (T) [P + t] = [P] for P ϵ p and tϵV. With multiplication induced by (M) [P] · [Q] = [P + Q], ∏ is almost a graded commutative algebra over F, in that ∏ = ⊕dr = 0Ξr, with Ξ0 ≅ Z, Ξr a vector space over F (r ≥ 1), and Ξr · Ξs = Ξr + s (r, s ≥ 0, Ξr = \{0\} forr {$>$} d). The dilatation (D) Δ(λ)[P] = [λP] for P ϵ p and λ ϵ F is such that Δ(λ)x = λrx for xϵΞr and λ ≥ 0. Negative dilatations arise from the Euler map (E) [P] ↦ [P]∗ := ∑F (−1)dimF [F] (the sum extending over all faces F of P), since Δ(λ)x = λrx∗ for xϵΞr and λ {$<$} 0. Separating group homomorphisms for ∏ are the frame functionals, which give the volumes of the faces of polytopes determined by successive support hyperplanes in sequences of directions. Two isomorphisms on ∏ are described: one related to cones of outer normal vectors, and the other to the polytope groups, obtained from ∏ by discarding polytopes of dimension less than d. Various applications of the polytope algebra are given, including a theory of mixed polytopes, which has implications for mixed valuations.},
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  fjournal = {Journal of Differential Geometry},
  mrclass = {57R17 (53D35 57R57)},
  mrnumber = {1913946},
  mrreviewer = {Stefano Vidussi}
}

@book{MR2393625,
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  author = {Peters, Chris A. M. and Steenbrink, Joseph H. M.},
  date = {2008},
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  volume = {52},
  pages = {xiv+470},
  publisher = {Springer-Verlag, Berlin},
  isbn = {978-3-540-77015-2},
  mrclass = {14C30 (14D07 32G20 32J25 32S35)},
  mrnumber = {2393625},
  mrreviewer = {Matt Kerr}
}

@article{MR3541847,
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  volume = {20},
  number = {2},
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  doi = {10.4310/ATMP.2016.v20.n2.a3},
  url = {https://doi.org/10.4310/ATMP.2016.v20.n2.a3},
  fjournal = {Advances in Theoretical and Mathematical Physics},
  mrclass = {53D35 (14J32)},
  mrnumber = {3541847},
  mrreviewer = {Hsian-Hua Tseng}
}

@article{MR632841,
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  date = {1981},
  journaltitle = {Ann. of Math. (2)},
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  doi = {10.2307/1971295},
  url = {https://doi.org/10.2307/1971295},
  fjournal = {Annals of Mathematics. Second Series},
  mrclass = {14J10 (14J17 32G11)},
  mrnumber = {632841},
  mrreviewer = {Henry C. Pinkham}
}

@incollection{MR713246,
  title = {The Smoothing Components of a Triangle Singularity. {{I}}},
  booktitle = {Singularities, {{Part}} 2 ({{Arcata}}, {{Calif}}., 1981)},
  author = {Looijenga, Eduard},
  date = {1983},
  series = {Proc. {{Sympos}}. {{Pure}} Math.},
  volume = {40},
  pages = {173--183},
  publisher = {Amer. Math. Soc., Providence, RI},
  mrclass = {14J17 (14B07 32B30 32J05)},
  mrnumber = {713246},
  mrreviewer = {I. Dolgachev}
}

@article{MR761312,
  title = {The Smoothing Components of a Triangle Singularity. {{II}}},
  author = {Looijenga, E.},
  date = {1984},
  journaltitle = {Math. Ann.},
  volume = {269},
  number = {3},
  pages = {357--387},
  issn = {0025-5831},
  doi = {10.1007/BF01450700},
  url = {https://doi.org/10.1007/BF01450700},
  fjournal = {Mathematische Annalen},
  mrclass = {14J17 (14B07)},
  mrnumber = {761312},
  mrreviewer = {I. Dolgachev}
}

@article{MR842425,
  title = {Quadratic Functions and Smoothing Surface Singularities},
  author = {Looijenga, Eduard and Wahl, Jonathan},
  date = {1986},
  journaltitle = {Topology},
  volume = {25},
  number = {3},
  pages = {261--291},
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  doi = {10.1016/0040-9383(86)90044-3},
  url = {https://doi.org/10.1016/0040-9383(86)90044-3},
  fjournal = {Topology. An International Journal of Mathematics},
  mrclass = {32C40 (14J17)},
  mrnumber = {842425},
  mrreviewer = {I. Dolgachev}
}

@article{MS21,
  title = {{{KSBA}} Compactification of the Moduli Space of {{K3}} Surfaces with a Purely Non-Symplectic Automorphism of Order Four},
  author = {Moon, Han-Bom and Schaffler, Luca},
  date = {2021},
  journaltitle = {Proc. Edinb. Math. Soc. (2)},
  volume = {64},
  number = {1},
  pages = {99--127},
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  doi = {10.1017/S001309152100002X},
  url = {https://doi.org/10.1017/S001309152100002X},
  fjournal = {Proceedings of the Edinburgh Mathematical Society. Series II},
  mrclass = {14J10 (14D06 14J28)},
  mrnumber = {4249842},
  mrreviewer = {Giancarlo Urzúa}
}

@article{MS21,
  title = {{{KSBA}} Compactification of the Moduli Space of {{K3}} Surfaces with a Purely Non-Symplectic Automorphism of Order Four},
  author = {Moon, Han-Bom and Schaffler, Luca},
  date = {2021},
  journaltitle = {Proc. Edinb. Math. Soc. (2)},
  volume = {64},
  number = {1},
  pages = {99--127},
  issn = {0013-0915},
  doi = {10.1017/S001309152100002X},
  url = {https://doi.org/10.1017/S001309152100002X},
  fjournal = {Proceedings of the Edinburgh Mathematical Society. Series II},
  mrclass = {14J10 (14D06 14J28)},
  mrnumber = {4249842},
  mrreviewer = {Giancarlo Urzúa}
}

@article{MS90,
  title = {{{THE GROUP}} \$ {{K}}\_3\$ {{FOR A FIELD}}},
  author = {Merkur'ev, A S and Suslin, A A},
  date = {1991-06-30},
  journaltitle = {Math. USSR Izv.},
  volume = {36},
  number = {3},
  pages = {541--565},
  issn = {0025-5726},
  doi = {10.1070/IM1991v036n03ABEH002034},
  url = {http://stacks.iop.org/0025-5726/36/i=3/a=A05?key=crossref.fdf3cac0c9e274dd63ea472d41b45b07},
  urldate = {2022-06-07},
  file = {/home/zack/Zotero/storage/FCVVP9XG/Merkur'ev and Suslin - 1991 - THE GROUP $ K_3$ FOR A FIELD.pdf}
}

@article{mukai1988finite-groups,
  title = {Finite Groups of Automorphisms of {{K3}} Surfaces and the {{Mathieu}} Group},
  author = {Mukai, Shigeru},
  date = {1988},
  journaltitle = {Inventiones Math.}
}

@book{mukai2003an-introduction-to-invariants,
  title = {An Introduction to Invariants and Moduli},
  author = {Mukai, Shigeru},
  date = {2003},
  series = {Cambridge Studies in Advanced Mathematics},
  volume = {81},
  pages = {xx+503},
  publisher = {Cambridge University Press},
  location = {Cambridge},
  isbn = {0-521-80906-1},
  mrclass = {14-02 (14D20 14L24 14L30)},
  mrnumber = {2004218 (2004g:14002)},
  mrreviewer = {Arvid Siqveland}
}

@article{mumford1961the-topology-of-normal,
  title = {The Topology of Normal Singularities of an Algebraic Surface and a Criterion for Simplicity},
  author = {Mumford, David},
  date = {1961},
  journaltitle = {Inst. Hautes Études Sci. Publ. Math.},
  number = {9},
  pages = {5--22},
  date-modified = {2012-12-26 19:59:10 +0000},
  mrclass = {14.18 (14.55)},
  mrnumber = {MR0153682 (27 \#3643)},
  optmrreviewer = {T. Matsusaka},
  sauthor = {Mumford, D.}
}

@article{mumford1964further-comments,
  title = {Further Comments on Boundary Points},
  author = {Mumford, D.},
  date = {1964},
  journaltitle = {AMS Summer School at Woods Hole},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Mumford64}
}

@book{mumford1965git,
  title = {Geometric Invariant Theory.},
  author = {Mumford, David},
  date = {1965},
  pages = {vi+145},
  publisher = {Springer-Verlag, Berlin-New York,},
  mrclass = {14.55},
  mrnumber = {214602},
  mrreviewer = {F. Oort}
}

@book{mumford1966lectures-on-curves,
  title = {Lectures on {{Curves}} on {{Algebraic Surface}}},
  author = {Mumford, D.},
  date = {1966},
  series = {Annals of Math. {{Studies}}},
  volume = {59},
  publisher = {Princeton Unev. Press, Princeton},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Mumford66}
}

@article{mumford1966on-the-equations-defining,
  title = {On the Equations Defining Abelian Varieties {{I}}, {{II}}, {{III}}},
  author = {Mumford, D.},
  year = {1966,67},
  journaltitle = {Invent. Math.},
  volume = {1,3},
  pages = {287--354, 71--135, 215--244},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Mumford6667}
}

@inproceedings{mumford1969bi-extensions-of-formal,
  title = {Bi-Extensions of Formal Groups},
  booktitle = {Algebraic {{Geometry}} ({{Internat}}. {{Colloq}}., {{Tata Inst}}. {{Fund}}. {{Res}}., {{Bombay}}, 1968)},
  author = {Mumford, David},
  date = {1969},
  pages = {307--322},
  publisher = {Oxford Univ. Press},
  location = {London},
  date-modified = {2012-12-26 19:59:10 +0000},
  mrclass = {14.50},
  mrnumber = {0257089 (41 \#1743)},
  mrreviewer = {J. Dieudonné}
}

@incollection{mumford1970varieties-defined,
  title = {Varieties Defined by Quadratic Equations},
  booktitle = {Questions on Algebraic Varieties ({{C}}.{{I}}.{{M}}.{{E}}., {{III}} Ciclo, Varenna, 1969)},
  author = {Mumford, D.},
  date = {1970},
  pages = {29--100},
  publisher = {Edizioni Cremonese},
  location = {Rome},
  date-modified = {2012-12-26 19:59:10 +0000},
  mrclass = {14.01},
  mrnumber = {MR0282975 (44 \#209)},
  mrreviewer = {Y. Nakai}
}

@article{mumford1972an-analytic-construction,
  title = {An Analytic Construction of Degenerating Abelian Varieties over Complete Rings},
  author = {Mumford, David},
  date = {1972},
  journaltitle = {Compositio Math.},
  volume = {24},
  pages = {239--272},
  issn = {0010-437X},
  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {Compositio Mathematica},
  mrclass = {14K20},
  mrnumber = {MR0352106 (50 \#4593)},
  mrreviewer = {I. Dolgacev},
  sauthor = {Mumford, D.}
}

@book{mumford1974abelian-varieties,
  title = {Abelian Varieties},
  author = {Mumford, D.},
  date = {1974},
  edition = {2},
  publisher = {OXFUP},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Mumford74}
}

@incollection{mumford1974prym-varieties,
  title = {Prym Varieties {{I}}},
  booktitle = {Contributions to Analysis (a Collection of Papers Dedicated to {{Lipman Bers}})},
  author = {Mumford, D.},
  date = {1974},
  pages = {325--350},
  publisher = {Academic Press},
  location = {New York},
  date-modified = {2012-12-26 20:27:15 +0000},
  mrclass = {14H40 (14K25 32G20)},
  mrnumber = {52 \#415},
  mrrevr = {H. H. Martens}
}

@article{mumford1977hirzebruchs-proportionality,
  title = {Hirzebruch's Proportionality Theorem in the Non-Compact Case},
  author = {Mumford, D.},
  date = {1977},
  journaltitle = {Invent. Math.},
  volume = {42},
  pages = {239--272},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Mumford77a}
}

@book{mumford1977stability-of-projective,
  title = {Stability of {{Projective Varieties}}},
  author = {Mumford, D.},
  date = {1977},
  series = {Conférences de l'{{Union}} Mathématique Internationale, No.5},
  volume = {24},
  publisher = {L'Enseignement Mathématique},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Mumford77b}
}

@book{mumford1982geometric-invariant,
  title = {Geometric {{Invariant Theory}}},
  author = {Mumford, D.},
  date = {1982},
  series = {{{ERGMG}}},
  edition = {Second Enlarged},
  volume = {34},
  publisher = {Springer-Verlag},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Mumford82}
}

@book{mumford1983-tata-lectures1,
  title = {Tata Lectures on Theta. {{I}}},
  author = {Mumford, David},
  date = {1983},
  series = {Progress in Mathematics},
  volume = {28},
  pages = {xiii+235},
  publisher = {Birkhäuser Boston, Inc., Boston, MA},
  doi = {10.1007/978-1-4899-2843-6},
  url = {https://doi.org/10.1007/978-1-4899-2843-6},
  isbn = {3-7643-3109-7},
  mrclass = {14K25 (11E45 11G10 14C30)},
  mrnumber = {688651},
  mrreviewer = {M. Kh. Gizatullin}
}

@inproceedings{mumford1983on-the-kodaira-dimension,
  title = {On the {{Kodaira}} Dimension of the {{Siegel}} Modular Variety},
  booktitle = {Algebraic Geometry—Open Problems ({{Ravello}}, 1982)},
  author = {Mumford, David},
  date = {1983},
  series = {Lecture Notes in Math.},
  volume = {997},
  pages = {348--375},
  publisher = {Springer},
  location = {Berlin},
  date-modified = {2012-12-26 19:59:10 +0000},
  mrclass = {14K10 (11F46 11G15 14J40 14K20)},
  mrnumber = {714757 (85d:14061)},
  mrreviewer = {Yukihiko Namikawa}
}

@incollection{mumford1983towards-enumerative,
  title = {Towards an Enumerative Geometry of the Moduli Space of Curves},
  booktitle = {Arithmetic and Geometry, {{Vol}}. {{II}}},
  author = {Mumford, David},
  date = {1983},
  series = {Progr. {{Math}}.},
  volume = {36},
  pages = {271--328},
  publisher = {Birkhäuser Boston, Boston, MA},
  isbn = {3-7643-3133-X},
  mrclass = {14H10 (14C15)},
  mrnumber = {717614},
  mrreviewer = {Werner Kleinert}
}

@book{mumford1984-tata-lectures2,
  title = {Tata Lectures on Theta. {{II}}},
  author = {Mumford, David},
  date = {1984},
  series = {Progress in Mathematics},
  volume = {43},
  pages = {xiv+272},
  publisher = {Birkhäuser Boston, Inc., Boston, MA},
  doi = {10.1007/978-0-8176-4578-6},
  url = {https://doi.org/10.1007/978-0-8176-4578-6},
  isbn = {0-8176-3110-0},
  mrclass = {14K25 (14H40 32G20)},
  mrnumber = {742776},
  mrreviewer = {M. Kh. Gizatullin}
}

@book{mumford1991-tata-lectures3,
  title = {Tata Lectures on Theta. {{III}}},
  author = {Mumford, David},
  date = {1991},
  series = {Progress in Mathematics},
  volume = {97},
  pages = {viii+202},
  publisher = {Birkhäuser Boston, Inc., Boston, MA},
  doi = {10.1007/978-0-8176-4579-3},
  url = {https://doi.org/10.1007/978-0-8176-4579-3},
  isbn = {0-8176-3440-1},
  mrclass = {14K25 (11F27 14K05 22D10)},
  mrnumber = {1116553},
  mrreviewer = {Emma Previato}
}

@book{mumford1994geometric-invariant,
  title = {Geometric Invariant Theory},
  author = {Mumford, D. and Fogarty, J. and Kirwan, F.},
  date = {1994},
  series = {Ergebnisse Der Mathematik Und Ihrer Grenzgebiete (2) [{{Results}} in Mathematics and Related Areas (2)]},
  edition = {3},
  volume = {34},
  pages = {xiv+292},
  publisher = {Springer-Verlag},
  location = {Berlin},
  date-modified = {2012-12-26 19:59:10 +0000},
  isbn = {3-540-56963-4},
  mrclass = {14D25 (58E05 58F05)},
  mrnumber = {MR1304906 (95m:14012)},
  mrreviewer = {Yi Hu}
}

@article{mustata2002singularities-of-pairs,
  title = {Singularities of Pairs via Jet Schemes},
  author = {Mustaţǎ, Mircea},
  date = {2002},
  journaltitle = {J. Amer. Math. Soc.},
  volume = {15},
  number = {3},
  pages = {599--615 (electronic)},
  issn = {0894-0347},
  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {Journal of the American Mathematical Society},
  mrclass = {14B05 (14B10 14E30)},
  mrnumber = {MR1896234 (2003b:14005)},
  mrreviewer = {Shihoko Ishii},
  sauthor = {Mustaţǎ, M.}
}

@book{nagata1962local-rings,
  title = {Local Rings},
  author = {Nagata, M.},
  date = {1962},
  publisher = {JOHWS},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{nakai1963a-criterion-of-ample,
  title = {A Criterion of Ample Sheaf on a Projective Scheme},
  author = {Nakai, Y.},
  date = {1963},
  journaltitle = {Amer. J. Math.},
  volume = {85},
  pages = {14--26},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{nakajima94:_instan_ale_kac_moody,
  title = {Instantons on {{ALE}} Spaces, Quiver Varieties, and {{Kac-Moody}} Algebras},
  author = {Nakajima, Hiraku},
  date = {1994},
  journaltitle = {Duke Math. J.},
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  number = {2},
  pages = {365--416},
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  url = {https://doi.org/10.1215/S0012-7094-94-07613-8},
  fjournal = {Duke Mathematical Journal},
  mrclass = {53C25 (17B67 58D27 58E15)},
  mrnumber = {1302318},
  mrreviewer = {Andrew Dancer}
}

@article{nakajima98:_quiver_kac_moody,
  title = {Quiver Varieties and {{Kac-Moody}} Algebras},
  author = {Nakajima, Hiraku},
  date = {1998},
  journaltitle = {Duke Math. J.},
  volume = {91},
  number = {3},
  pages = {515--560},
  issn = {0012-7094},
  doi = {10.1215/S0012-7094-98-09120-7},
  url = {https://doi.org/10.1215/S0012-7094-98-09120-7},
  fjournal = {Duke Mathematical Journal},
  mrclass = {17B67 (14D25 16G20 17B35 53C25 58F05)},
  mrnumber = {1604167},
  mrreviewer = {Michael M. Kapranov}
}

@article{nakamura1975on-moduli-of-stable,
  title = {On Moduli of Stable Quasi Abelian Varieties},
  author = {Nakamura, I.},
  date = {1975},
  journaltitle = {Nagoya Math. J.},
  volume = {58},
  pages = {149--214},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Nakamura75}
}

@inproceedings{nakamura1977relative-compactification,
  title = {Relative Compactification of the {{Néron}} Model and Its Applications},
  booktitle = {Complex Analysis and Algebraic Geometry},
  author = {Nakamura, I.},
  editor = {Baily, Jr., W.L. and Shioda, T.},
  date = {1977},
  pages = {207--225},
  publisher = {CAMUP},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Nakamura77}
}

@article{nakamura1987moishezon-threefolds,
  title = {Moishezon Threefolds Homeomorphic to {{P}}³},
  author = {Nakamura, I.},
  date = {1987},
  journaltitle = {JMATS},
  volume = {39},
  pages = {521--535},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Nakamura87a}
}

@article{nakano1971on-the-inverse,
  title = {On the Inverse of Monoidal Transformation},
  author = {Nakano, Shigeo},
  date = {1970/0071},
  journaltitle = {Publ. Res. Inst. Math. Sci.},
  volume = {6},
  pages = {483--502},
  issn = {0034-5318},
  doi = {10.2977/prims/1195193917},
  url = {https://doi.org/10.2977/prims/1195193917},
  fjournal = {Kyoto University. Research Institute for Mathematical Sciences. Publications},
  mrclass = {32L05},
  mrnumber = {0294710},
  mrreviewer = {D. A. Pelles}
}

@article{nakayama2007classification-of-log,
  title = {Classification of Log Del {{Pezzo}} Surfaces of Index Two},
  author = {Nakayama, Noboru},
  date = {2007},
  journaltitle = {J. Math. Sci. Univ. Tokyo},
  volume = {14},
  number = {3},
  pages = {293--498},
  issn = {1340-5705},
  fjournal = {The University of Tokyo. Journal of Mathematical Sciences},
  mrclass = {14J26 (14E30 14J45)},
  mrnumber = {2372472},
  mrreviewer = {I. Dolgachev}
}

@article{Nam85,
  title = {Periods of {{Enriques}} Surfaces},
  author = {Namikawa, Yukihiko},
  date = {1985-06-01},
  journaltitle = {Math. Ann.},
  volume = {270},
  number = {2},
  pages = {201--222},
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  urldate = {2024-01-29},
  langid = {english},
  file = {/home/zack/Zotero/storage/YXU84RS4/Namikawa - 1985 - Periods of Enriques surfaces.pdf}
}

@article{namikawa1973on-the-canonical-holomorphic,
  title = {On the Canonical Holomorphic Map from the Moduli Space of Stable Curves to the {{Igusa}} Monoidal Transform},
  author = {Namikawa, Yukihiko},
  date = {1973},
  journaltitle = {Nagoya Math. J.},
  volume = {52},
  pages = {197--259},
  issn = {0027-7630},
  date-modified = {2012-12-26 19:59:10 +0000},
  fjournal = {Nagoya Mathematical Journal},
  mrclass = {14H15 (14H10)},
  mrnumber = {0337981 (49 \#2750)},
  mrreviewer = {Bernard Saint-Donat}
}

@article{namikawa1976a-new-compactification-of-the-siegel1,
  title = {A New Compactification of the {{Siegel}} Space and Degeneration of {{Abelian}} Varieties. {{I}}},
  author = {Namikawa, Yukihiko},
  date = {1976},
  journaltitle = {Math. Ann.},
  volume = {221},
  number = {2},
  pages = {97--141},
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  fjournal = {Mathematische Annalen},
  mrclass = {14K10 (22E40 32M15)},
  mrnumber = {MR0480537 (58 \#697a)},
  mrreviewer = {Avner Ash},
  sauthor = {Namikawa, Y.}
}

@article{namikawa1976a-new-compactification-of-the-siegel2,
  title = {A New Compactification of the {{Siegel}} Space and Degeneration of {{Abelian}} Varieties. {{II}}},
  author = {Namikawa, Yukihiko},
  date = {1976},
  journaltitle = {Math. Ann.},
  volume = {221},
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  issn = {0025-5831},
  date-modified = {2012-12-26 20:20:35 +0000},
  fjournal = {Mathematische Annalen},
  mrclass = {14K10 (22E40 32M15)},
  mrnumber = {MR0480538 (58 \#697b)},
  mrreviewer = {Avner Ash},
  sauthor = {Namikawa, Y.}
}

@inproceedings{namikawa1977toroidal-degeneration,
  title = {Toroidal Degeneration of Abelian Varieties},
  booktitle = {Complex Analysis and Algebraic Geometry},
  author = {Namikawa, Y.},
  editor = {Baily, Jr., W.L. and Shioda, T.},
  date = {1977},
  pages = {227--239},
  publisher = {CAMUP},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Namikawa77}
}

@article{namikawa1979toroidal-degeneration,
  title = {Toroidal Degeneration of Abelian Varieties. {{II}}},
  author = {Namikawa, Y.},
  date = {1979},
  journaltitle = {Math. Ann.},
  volume = {245},
  pages = {117--150},
  date-modified = {2012-12-26 19:59:10 +0000},
  formertitle = {Namikawa79}
}

@book{namikawa1980toroidal-compactification,
  title = {Toroidal Compactification of {{Siegel}} Spaces},
  author = {Namikawa, Yukihiko},
  date = {1980},
  series = {Lecture Notes in Mathematics},
  volume = {812},
  pages = {viii+162},
  publisher = {Springer, Berlin},
  isbn = {3-540-10021-0},
  mrclass = {32J05 (14K10 32M99 32N15)},
  mrnumber = {584625},
  mrreviewer = {M. Ishida}
}

@article{namikawa1985periods-of-enriques,
  title = {Periods of {{Enriques}} Surfaces},
  author = {Namikawa, Yukihiko},
  date = {1985},
  journaltitle = {Math. Ann.},
  volume = {270},
  number = {2},
  pages = {201--222},
  issn = {0025-5831},
  doi = {10.1007/BF01456182},
  url = {https://doi.org/10.1007/BF01456182},
  fjournal = {Mathematische Annalen},
  mrclass = {14J28 (14J15)},
  mrnumber = {771979},
  mrreviewer = {François Cossec}
}

@article{Nik79,
  title = {{{INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS}}},
  author = {Nikulin, V. V.},
  date = {1980-02-28},
  journaltitle = {Math. USSR Izv.},
  volume = {14},
  number = {1},
  pages = {103},
  publisher = {IOP Publishing},
  issn = {0025-5726},
  doi = {10.1070/IM1980v014n01ABEH001060},
  url = {https://iopscience.iop.org/article/10.1070/IM1980v014n01ABEH001060/meta},
  urldate = {2024-01-29},
  langid = {english},
  file = {/home/zack/Zotero/storage/MSTMKYH7/Nikulin - 1980 - INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEI.pdf}
}

@article{nikulidel-pezzo-surfaces,
  title = {Del {{Pezzo}} Surfaces with Log Terminal Singularities {{II}}},
  author = {Nikuli, V.V.},
  date-modified = {2012-12-26 19:59:10 +0000},
  optjournal = {\#MATUI\#},
  optvolume = {33},
  optyear = {1989}
}

@article{nikulin1979finite-groups,
  title = {Finite Groups of Automorphisms of {{Kählerian K3}} Surfaces},
  author = {Nikulin, V. V.},
  date = {1979},
  journaltitle = {Trudy Moskov. Mat. Obshch.},
  volume = {38},
  pages = {75--137},
  issn = {0134-8663},
  fjournal = {Trudy Moskovskogo Matematicheskogo Obshchestva},
  mrclass = {32J15 (10C02 10E45 14J10 14J25)},
  mrnumber = {544937},
  mrreviewer = {I. Dolgachev}
}

@article{nikulin1979integer-symmetric,
  title = {Integer Symmetric Bilinear Forms and Some of Their Geometric Applications},
  author = {Nikulin, V. V.},
  date = {1979},
  journaltitle = {Izv. Akad. Nauk SSSR Ser. Mat.},
  volume = {43},
  number = {1},
  pages = {111--177, 238},
  issn = {0373-2436},
  fjournal = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
  mrclass = {10C05 (14G30 14J17 14J25 57M99 57R45 58C27)},
  mrnumber = {525944 (80j:10031)},
  mrreviewer = {I. Dolgachev}
}

@article{nikulin1979quotient-groups,
  title = {Quotient-Groups of Groups of Automorphisms of Hyperbolic Forms of Subgroups Generated by 2-Reflections},
  author = {Nikulin, V. V.},
  date = {1979},
  journaltitle = {Dokl. Akad. Nauk SSSR},
  volume = {248},
  number = {6},
  pages = {1307--1309},
  issn = {0002-3264},
  fjournal = {Doklady Akademii Nauk SSSR},
  mrclass = {10C02 (14J25 51M20)},
  mrnumber = {556762},
  mrreviewer = {I. Dolgachev},
  file = {/home/zack/Zotero/storage/IBD8ECV6/Nikulin - 1979 - Quotient-groups of groups of automorphisms of hype.pdf}
}

@incollection{nikulin1981quotient-groups,
  title = {Quotient-Groups of Groups of Automorphisms of Hyperbolic Forms by Subgroups Generated by 2-Reflections. {{Algebro-geometric}} Applications},
  booktitle = {Current Problems in Mathematics, {{Vol}}. 18},
  author = {Nikulin, V. V.},
  date = {1981},
  pages = {3--114},
  publisher = {Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Informatsii, Moscow},
  mrclass = {10C02 (14J25)},
  mrnumber = {633160 (83c:10030)},
  mrreviewer = {I. Dolgachev}
}

@article{nikulin1989algebraic-surfaces,
  title = {Algebraic Surfaces with Log-Terminal Singularities and Nef Anticanonical Class and Reflection Groups in {{Lobachevsky}} Spaces},
  author = {Nikulin, V.V.},
  date = {1989},
  journaltitle = {Max-Plank-Institute für Mathematik preprint},
  number = {28},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{nikulin1990log-del-pezzo-surfaces,
  title = {Log {{Del Pezzo}} Surfaces {{III}}},
  author = {Nikulin, V.V.},
  date = {1990},
  journaltitle = {Math. USSR-Izv.},
  volume = {35},
  pages = {657--??},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{nikulin2013kahlerian-k3,
  title = {Kählerian {{K3}} Surfaces and {{Niemeier}} Lattices. {{I}}},
  author = {Nikulin, V. V.},
  date = {2013},
  journaltitle = {Izv. Ross. Akad. Nauk Ser. Mat.},
  volume = {77},
  number = {5},
  pages = {109--154},
  issn = {0373-2436},
  fjournal = {Rossiı̆skaya Akademiya Nauk. Izvestiya. Seriya Matematicheskaya},
  mrclass = {14J28},
  mrnumber = {3137197},
  mrreviewer = {Alex Degtyarev}
}

@article{nikulin2015degenerations-of-kahlerian,
  title = {Degenerations of {{Kählerian K3}} Surfaces with Finite Symplectic Automorphism Groups},
  author = {Nikulin, V. V.},
  date = {2015},
  journaltitle = {Izv. Ross. Akad. Nauk Ser. Mat.},
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  number = {4},
  pages = {103--158},
  issn = {0373-2436},
  doi = {10.4213/im8276},
  url = {http://dx.doi.org/10.4213/im8276},
  fjournal = {Rossiı̆skaya Akademiya Nauk. Izvestiya. Seriya Matematicheskaya},
  mrclass = {14J10 (14J28 14J50)},
  mrnumber = {3397421}
}

@article{nikulin2015degenerations-of-kahlerian2,
  title = {Degenerations of {{Kählerian K3}} Surfaces with Finite Symplectic Automorphism Groups, {{II}}},
  author = {Nikulin, V. V.},
  date = {2015},
  journaltitle = {Preprint}
}

@article{nikulin2020some-examples,
  title = {Some Examples of {{K3}} Surfaces with Infinite Automorphism Group Which Preserves an Elliptic Pencil},
  author = {Nikulin, Viacheslav V.},
  date = {2020},
  journaltitle = {Math. Notes},
  volume = {108},
  number = {3-4},
  pages = {542--549},
  issn = {0001-4346},
  doi = {10.1134/s0001434620090266},
  url = {https://doi.org/10.1134/s0001434620090266},
  fjournal = {Mathematical Notes},
  mrclass = {14J28 (14J50)},
  mrnumber = {4170906},
  mrreviewer = {Shigeyuki Kondo}
}

@article{nishiguchi1988degeneration,
  title = {Degeneration of {{K3}} Surfaces},
  author = {Nishiguchi, Kenji},
  date = {1988},
  journaltitle = {J. Math. Kyoto Univ.},
  volume = {28},
  number = {2},
  pages = {267--300},
  issn = {0023-608X},
  doi = {10.1215/kjm/1250520482},
  url = {https://mathscinet-ams-org.proxy-remote.galib.uga.edu/mathscinet-getitem?mr=953177},
  date-added = {2021-02-22 13:46:04 -0500},
  date-modified = {2021-02-22 13:46:18 -0500},
  fjournal = {Journal of Mathematics of Kyoto University},
  mrclass = {32J15 (14J28)},
  mrnumber = {953177},
  mrreviewer = {Toshiyuki Maebashi}
}

@incollection{NS11,
  title = {The {{Grothendieck}} Ring of Varieties},
  booktitle = {Motivic {{Integration}} and Its {{Interactions}} with {{Model Theory}} and {{Non-Archimedean Geometry}}},
  author = {Nicaise, Johannes and Sebag, Julien},
  editor = {Nicaise, Johannes and Sebag, Julien and Cluckers, Raf},
  date = {2011},
  series = {London {{Mathematical Society Lecture Note Series}}},
  volume = {1},
  pages = {145--188},
  publisher = {Cambridge University Press},
  location = {Cambridge},
  doi = {10.1017/CBO9780511667534.005},
  url = {https://www.cambridge.org/core/books/motivic-integration-and-its-interactions-with-model-theory-and-nonarchimedean-geometry/grothendieck-ring-of-varieties/74DBEFCE83030367DE335C0B3B1C1A32},
  urldate = {2022-06-06},
  abstract = {IntroductionSince its creation in the middle of the nineties, the theory of motivic integration has been developed in different directions, following a geometric and/or model-theoretic approach. The theory has profound applications in several areas of mathematics, such as algebraic geometry, singularity theory, number theory and representation theory.A common feature of the different versions of motivic integration is that the integrals take their values in an appropriate Grothendieck ring, often the Grothendieck ring of varieties. Many applications of motivic integration involve equalities of certain motivic integrals, and hence equalities in the Grothendieck ring of varieties; see, for example, the Batyrev-Kontsevich Theorem [6], which motivated the introduction of motivic integration. Therefore, it is natural to ask for the geometric meaning behind such equalities in the Grothendieck ring.Unfortunately, the Grothendieck ring of varieties is quite hard to grasp, and little is known about it; many basic and fundamental questions remain unanswered. The central question is arguably the one raised by Larsen and Lunts (see Section 6.2), for which only partial results have been obtained so far.The present paper is a survey on the Grothendieck ring of varieties. We recall its definition (Section 3), and its main realization maps (Section 4). These realizations constitute the motivic nature of the Grothendieck ring. Besides, we motivate the study of the Grothendieck ring by listing the principal known results, and formulating some challenging open problems (Section 5), which are connected to fundamental questions in algebraic geometry.},
  isbn = {978-0-521-14976-1},
  file = {/home/zack/Zotero/storage/3UU3EJRA/Nicaise and Sebag - 2011 - The Grothendieck ring of varieties.pdf}
}

@article{oakley2016on-certain,
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  url = {https://doi.org/10.2140/agt.2016.16.149},
  fjournal = {Algebraic \& Geometric Topology},
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  mrnumber = {3470699},
  mrreviewer = {S. Timothy Swift}
}

@article{oberdieck2021Hilbert-schemes,
  title = {Hilbert Schemes of {{K3}} Surfaces, Generalized {{Kummer}}, and Cobordism Classes of Hyper-{{Kähler}} Manifolds},
  author = {Oberdieck, Georg and Song, Jieao and Voisin, Claire},
  date = {2021},
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}

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  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{oda1979compactifications-of-the-generalized,
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  author = {Oda, T. and Seshadri, C.S.},
  date = {1979},
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  date-modified = {2012-12-26 19:59:10 +0000}
}

@book{oda1988convex-bodies,
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  author = {Oda, T.},
  date = {1988},
  series = {Ergebnisse Der Mathematik Und Ihrer Grenzgebiete (3)},
  volume = {15},
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  publisher = {Springer-Verlag},
  location = {Berlin},
  date-modified = {2012-12-26 19:59:10 +0000},
  isbn = {3-540-17600-4},
  mrclass = {14L32 (14-02 52A25 52A43)},
  mrnumber = {88m:14038},
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  optnote = {An introduction to the theory of toric varieties, Translated from the Japanese}
}

@article{oda1993the-algebraic-de-rham,
  title = {The Algebraic de {{Rham}} Theorem for Toric Varieties},
  author = {Oda, T.},
  date = {1993},
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}

@article{odaka2013git-stability,
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  url = {https://doi.org/10.4007/annals.2013.177.2.6},
  fjournal = {Annals of Mathematics. Second Series},
  mrclass = {14C20 (14J17 14L24 32Q26)},
  mrnumber = {3010808},
  mrreviewer = {Daniel Greb}
}

@article{odaka2015compact-moduli,
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  fjournal = {Publications of the Research Institute for Mathematical Sciences},
  mrclass = {14D20 (14J45 32Q20)},
  mrnumber = {3395458},
  mrreviewer = {Francesco Bottacin}
}

@article{odaka2016compact-moduli,
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  mrclass = {14J15 (14J45 32Q25 53C25 53C55 58D27)},
  mrnumber = {3447088},
  mrreviewer = {I. Dolgachev}
}

@article{odaka2018collapsing-k3,
  title = {Collapsing {{K3}} Surfaces, Tropical Geometry and Moduli Compactifications of {{Satake}}, {{Morgan-Shalen}} Type},
  author = {Odaka, Yuji and Oshima, Yoshiki},
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  journaltitle = {Preprint}
}

@article{odaka2020pl-density,
  title = {{{PL}} Density Invariant for Type {{II}} Degenerating {{K3}} Surfaces, {{Moduli}} Compactification and {{hyperKahler}} Metrics},
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  date = {2020},
  journaltitle = {Preprint}
}

@book{odaka2021collapsing-k3,
  title = {Collapsing {{K3}} Surfaces, Tropical Geometry and Moduli Compactifications of {{Satake}}, {{Morgan-Shalen}} Type},
  author = {Odaka, Yuji and Oshima, Yoshiki},
  date = {2021},
  series = {{{MSJ}} Memoirs},
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  pages = {x+165},
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  url = {https://doi.org/10.1142/e071},
  isbn = {978-4-86497-104-1},
  mrclass = {14J42 (14J10 14J28 14T20 32G13 32J15)},
  mrnumber = {4290084},
  mrreviewer = {Ignacio Barros}
}

@article{ogrady1999desingularized-moduli,
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  url = {http://dx.doi.org/10.1515/crll.1999.056},
  coden = {JRMAA8},
  fjournal = {Journal für die Reine und Angewandte Mathematik},
  mrclass = {14J60 (14D20 14J28)},
  mrnumber = {1703077 (2000f:14066)},
  mrreviewer = {Jean-Marc Drezet}
}

@article{ogrady2003a-new-six-dimensional,
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  date = {2003},
  journaltitle = {J. Algebraic Geom.},
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  number = {3},
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  url = {http://dx.doi.org/10.1090/S1056-3911-03-00323-0},
  fjournal = {Journal of Algebraic Geometry},
  mrclass = {14D20 (32J18 32J27)},
  mrnumber = {1966024 (2004c:14017)},
  mrreviewer = {Zhenbo Qin}
}

@article{ogrady2015periods-of-double,
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  author = {O'Grady, Kieran G.},
  date = {2015},
  journaltitle = {Math. Z.},
  volume = {280},
  number = {1-2},
  pages = {485--524},
  issn = {0025-5874},
  doi = {10.1007/s00209-015-1434-7},
  url = {http://dx.doi.org/10.1007/s00209-015-1434-7},
  fjournal = {Mathematische Zeitschrift},
  mrclass = {Preliminary Data},
  mrnumber = {3343917}
}

@article{oguiso1991mordell-weil,
  title = {The {{Mordell-Weil}} Lattice of a Rational Elliptic Surface},
  author = {Oguiso, Keiji and Shioda, Tetsuji},
  date = {1991},
  journaltitle = {Comment. Math. Univ. St. Paul.},
  volume = {40},
  number = {1},
  pages = {83--99},
  issn = {0010-258X},
  fjournal = {Commentarii Mathematici Universitatis Sancti Pauli},
  mrclass = {14J27 (11E81 14J26)},
  mrnumber = {1104782},
  mrreviewer = {David Cox}
}

@book{okabe1992spatial-tesselations:,
  title = {Spatial Tesselations: Concepts and Applications of {{Voronoi}} Diagrams},
  author = {Okabe, A. and Boots, B. and Sugihara, K.},
  date = {1992},
  publisher = {JOHWS},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{olsson2004semistable,
  title = {Semistable Degenerations and Period Spaces for Polarized {{K3}} Surfaces},
  author = {Olsson, Martin C},
  date = {2004},
  journaltitle = {Duke Mathematical Journal},
  volume = {125},
  number = {1},
  pages = {121--203},
  publisher = {Duke University Press},
  date-added = {2022-08-09 15:14:18 -0400},
  date-modified = {2022-08-09 15:14:18 -0400}
}

@incollection{olsson2012compactifications-moduli,
  title = {Compactifications of Moduli of Abelian Varieties: An Introduction},
  booktitle = {Current Developments in Algebraic Geometry},
  author = {Olsson, Martin},
  date = {2012},
  series = {Math. {{Sci}}. {{Res}}. {{Inst}}. {{Publ}}.},
  volume = {59},
  pages = {295--348},
  publisher = {Cambridge Univ. Press, Cambridge},
  mrclass = {14K10 (14D23 14M27)},
  mrnumber = {2931874},
  mrreviewer = {Sebastian Casalaina-Martin}
}

@article{oort1966commutative-group,
  title = {Commutative Group Schemes},
  author = {Oort, F.},
  date = {1966},
  journaltitle = {Springer-Verlag},
  volume = {15},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@article{opstall2005moduli-of-products,
  title = {Moduli of Products of Curves},
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  options = {useprefix=true},
  date = {2005},
  journaltitle = {Arch. Math. (Basel)},
  volume = {84},
  number = {2},
  pages = {148--154},
  issn = {0003-889X},
  coden = {ACVMAL},
  date-modified = {2012-12-26 19:59:09 +0000},
  fjournal = {Archiv der Mathematik},
  mrclass = {14J10 (14B05)},
  mrnumber = {MR2120708 (2006a:14059)},
  mrreviewer = {Alessandro Chiodo},
  sauthor = {van Opstall, M. A.}
}

@misc{opstall2006on-the-properness-of-the-moduli,
  title = {On the Properness of the Moduli Space of Stable Surfaces},
  author = {van Opstall, M. A.},
  options = {useprefix=true},
  date = {2006},
  date-modified = {2012-12-26 19:59:09 +0000},
  optauthor = {Michael A. van Opstall}
}

@article{orecchia1976sulla-seminormalita,
  title = {Sulla Seminormalità Di Certe Varietà Affini Riducibili},
  author = {Orecchia, F.},
  date = {1976},
  journaltitle = {BOLUM},
  volume = {13-B},
  pages = {588--600},
  date-modified = {2012-12-26 19:59:10 +0000}
}

@incollection{orlik1977structure-weighted,
  title = {The Structure of Weighted Homogeneous Polynomials},
  booktitle = {Several Complex Variables ({{Proc}}. {{Sympos}}. {{Pure Math}}., {{Vol}}. {{XXX}}, {{Part}} 1, {{Williams Coll}}., {{Williamstown}}, {{Mass}}., 1975)},
  author = {Orlik, P. and Randell, R.},
  date = {1977},
  pages = {57--64},
  publisher = {Amer. Math. Soc., Providence, R. I.},
  mrclass = {14B05 (32C40)},
  mrnumber = {0447229},
  mrreviewer = {I. N. Iomdin}
}

@article{oshima2006a-classification-of-subsystems,
  title = {A Classification of Subsystems of a Root System},
  author = {Oshima, Toshio},
  date = {2006},
  journaltitle = {Preprint}
}

@article{oudompheng2011periods-campedelli,
  title = {Periods of an Arrangement of Six Lines and {{Campedelli}} Surfaces},
  author = {Oudompheng, Rémy},
  date = {2011},
  journaltitle = {arXiv}
}

@book{oxley1992matroid-theory,
  title = {Matroid Theory},
  author = {Oxley, James G.},
  date = {1992},
  series = {Oxford Science Publications},
  pages = {xii+532},
  publisher = {The Clarendon Press Oxford University Press},
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@online{OY19a,
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  abstract = {We study the inertia groups of some smooth rational curves on 2-elementary K3 surfaces and singular K3 surfaces from the view of topological entropy, with an application to a long standing open question of Coble on the inertia group of a generic Coble surface.},
  langid = {english},
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  abstract = {We prove that the fourth algebraic K-group of the integers is the trivial group, i.e., that K4(Z)=0. The argument uses rank-, poset- and component filtrations of the algebraic K-theory spectrum K(Z) from Rognes (Topology 31 (1992) 813–845; K-Theory 7 (1993) 175–200), and a group homology computation of H1(SL4(Z);St4) from Soulé, to compute the odd primary spectrum homology of K(Z) in degrees ⩽4. This shows that the odd torsion in K4(Z) is trivial. The 2-torsion in K4(Z) was shown to be trivial in Rognes and Weibel (J. Amer. Math. Soc., to appear).},
  langid = {english},
  keywords = {Algebraic -theory of the integers,Component filtration,Poset filtration,Spectrum level rank filtration,Stable building},
  file = {/home/zack/Zotero/storage/FVRT64YC/Rognes - 2000 - K4(Z) is the trivial group.pdf}
}

@article{Rog92,
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  urldate = {2022-06-07},
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}

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@article{rollenske2010compact-moduli,
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}

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  number = {4},
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  publisher = {{Springer Science and Business Media LLC}},
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@article{Sha81,
  title = {Degenerations of \${{K3}}\$ {{Surfaces}} of {{Degree}} 4},
  author = {Shah, Jayant},
  date = {1981},
  journaltitle = {Transactions of the American Mathematical Society},
  volume = {263},
  number = {2},
  eprint = {1998352},
  eprinttype = {jstor},
  pages = {271--308},
  publisher = {American Mathematical Society},
  issn = {0002-9947},
  doi = {10.2307/1998352},
  url = {https://www.jstor.org/stable/1998352},
  urldate = {2024-01-29},
  abstract = {A generic \$K3\$ surface of degree 4 may be embedded as a nonsingular quartic surface in \$P\_3\$. Let \$f: X \textbackslash rightarrow \textbackslash operatorname\{Spec\} \textbackslash lbrack\textbackslash lbrack t \textbackslash rbrack\textbackslash rbrack\$ be a family of quartic surfaces such that the generic fiber is regular. Let \$\textbackslash sum\_0, \textbackslash sum\textasciicircum 0\_2, \textbackslash sum\_4\$ be respectively a nonsingular quadric in \$P\_3\$, a cone in \$P\_3\$ over a nonsingular conic and a rational, ruled surface in \$P\_9\$ which has a section with selfintersection -4. We show that there exists a flat, projective morphism \$f': X' \textbackslash rightarrow \textbackslash operatorname\{Spec\} C\textbackslash lbrack\textbackslash lbrack t \textbackslash rbrack\textbackslash rbrack\$ and a map \$\textbackslash rho: \textbackslash operatorname\{Spec\} C\textbackslash lbrack\textbackslash lbrack t \textbackslash rbrack\textbackslash rbrack \textbackslash rightarrow \$\textbackslash operatorname\{Spec\} C\textbackslash lbrack\textbackslash lbrack t \textbackslash rbrack\textbackslash brack\$ such that (i) the generic fiber of \$f'\$ and the generic fiber of the pull-back of \$f\$ via \$\textbackslash rho\$ are isomorphic, (ii) the fiber \$X'\_0\$ of \$f'\$ over the closed point of \$\textbackslash operatorname\{Spec\} C\textbackslash lbrack\textbackslash lbrack t \textbackslash rbrack\textbackslash rbrack\$ has only insignificant limit singularities and (iii) \$X'\_0\$ is either a quadric surface or a double cover of \$\textbackslash sum\_0, \textbackslash sum\textasciicircum 0\_2\$ or \$\textbackslash sum\_4\$. The theorem is proved using the geometric invariant theory.},
  file = {/home/zack/Zotero/storage/GXSTD4GX/Shah - 1981 - Degenerations of $K3$ Surfaces of Degree 4.pdf}
}

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@article{shah1981degenerations-of-k3,
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  author = {Shah, Jayant},
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  volume = {263},
  number = {2},
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  issn = {0002-9947},
  doi = {10.2307/1998352},
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@incollection{shepherd-barron1981extending-polarizations,
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  booktitle = {The Birational Geometry of Degenerations ({{Cambridge}}, {{Mass}}., 1981)},
  author = {Shepherd-Barron, N. I.},
  date = {1983},
  series = {Progr. {{Math}}.},
  volume = {29},
  pages = {135--171},
  publisher = {Birkhäuser, Boston, Mass.},
  mrclass = {14J15 (32G05)},
  mrnumber = {690265},
  mrreviewer = {Jayant M. Shah}
}

@incollection{shepherd-barron1983the-birational-theory,
  title = {The {{Birational Theory}} of {{Degenerations}}},
  author = {Shepherd-Barron, N.I.},
  date = {1983},
  pages = {33--84},
  publisher = {b},
  date-modified = {2012-12-26 19:59:09 +0000}
}

@article{shepherd-barron2006perfect-forms,
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  author = {Shepherd-Barron, N. I.},
  date = {2006},
  journaltitle = {Invent. Math.},
  volume = {163},
  number = {1},
  pages = {25--45},
  issn = {0020-9910},
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  url = {https://doi.org/10.1007/s00222-005-0453-0},
  fjournal = {Inventiones Mathematicae},
  mrclass = {14K10},
  mrnumber = {2208417},
  mrreviewer = {David Lehavi}
}

@thesis{shin13reduction-map,
  title = {The Reduction Map for the Moduli Spaces of Weighted Stable Hyperplane Arrangements},
  author = {Shin, Jae Ho},
  date = {2013},
  institution = {University of Georgia}
}

@incollection{shioda1977on-singular-k3,
  title = {On Singular {{K3}} Surfaces},
  booktitle = {Complex Analysis and Algebraic Geometry},
  author = {Shioda, T. and Inose, H.},
  date = {1977},
  pages = {119--136},
  publisher = {Iwanami Shoten, Tokyo},
  mrclass = {14J25 (14G13 10D20)},
  mrnumber = {0441982 (56 \#371)},
  mrreviewer = {J. S. Milne}
}

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@article{shokurov19923-fold-log-flips,
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  date = {1992},
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  volume = {56},
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@article{shokurov1992problems-about,
  title = {Problems about {{Fano Varieties}}},
  author = {Shokurov, V.V.},
  crossref = {1992birational-geometry},
  date-modified = {2012-12-26 19:59:09 +0000}
}

@article{shokurov1992three-dimensional,
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  date = {1992},
  journaltitle = {Izv. Ross. Akad. Nauk Ser. Mat.},
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  fjournal = {Rossiı̆skaya Akademiya Nauk. Izvestiya. Seriya Matematicheskaya},
  mrclass = {14E05 (14E35)},
  mrnumber = {1162635},
  mrreviewer = {A. S. Tikhomirov}
}

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  pages = {5--79},
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}

@unpublished{simpson2007on-log-canonical-models,
  title = {On {{Log Canonical Models}} of the {{Moduli Space}} of {{Stable Pointed Curves}}},
  author = {Simpson, Matthew},
  date = {2007},
  eprint = {0709.4037},
  eprinttype = {arxiv},
  date-modified = {2012-12-26 19:59:09 +0000}
}

@thesis{simpson2008on-log-canonical-models,
  title = {On {{Log Canonical Models}} of the {{Moduli Space}} of {{Stable Pointed Genus Zero Curves}}},
  author = {Simpson, Matthew},
  date = {2008},
  institution = {Rice University},
  date-modified = {2012-12-26 19:59:09 +0000}
}

@article{siu1980compact-kahler,
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@article{siu1983every-k3,
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  fjournal = {Inventiones Mathematicae},
  mrclass = {32J15 (14J15 32G13 53C55)},
  mrnumber = {707352},
  mrreviewer = {Werner Kleinert}
}

@book{slodowy1980simple-singularities,
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}

@article{soucaris1994the-ampleness-of-the-theta,
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@book{springer1977invariant-theory,
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}

@article{SS21,
  title = {A {{Gillet-Waldhausen Theorem}} for Chain Complexes of Sets},
  author = {Sarazola, Maru and Shapiro, Brandon},
  date = {2021-07-16},
  doi = {10.48550/arXiv.2107.07701},
  url = {https://arxiv.org/abs/2107.07701v2},
  urldate = {2022-06-07},
  abstract = {The (A)CGW categories of Campbell and Zakharevich show how finite sets and varieties behave like the objects of an exact category for the purpose of algebraic \$K\$-theory. We further develop that program by defining chain complexes and quasi-isomorphisms for any category with suitably nice coproducts. In particular, chain complexes of finite sets satisfy an analogue of the Gillet--Waldhausen Theorem: their \$K\$-theory agrees with the classical \$K\$-theory of finite sets. Along the way, we define new double categorical structures that modify those of Campbell and Zakharevich to include the data of weak equivalences. These ECGW categories produce \$K\$-theory spectra which satisfy analogues of the Additivity and Fibration Theorems. The weak equivalences are determined by a subcategory of acyclic objects satisfying minimal conditions, resulting in a Localization Theorem that generalizes previous versions in the literature.},
  langid = {english},
  file = {/home/zack/Zotero/storage/RU7EXWIG/Sarazola and Shapiro - 2021 - A Gillet-Waldhausen Theorem for chain complexes of.pdf;/home/zack/Zotero/storage/WJUPC4KJ/2107.html}
}

@article{stanley1979invariants-of-finite,
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  mrclass = {20C15 (05A15 13H10 14H10 15A72 51F15)},
  mrnumber = {526968 (81a:20015)},
  mrreviewer = {Ralph Strebel}
}

@book{stanley1985combinatorics-and-commutative,
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@inproceedings{stanley1987generalized-h-vectors,
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  author = {Stanley, R.},
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  fjournal = {Mathematische Zeitschrift},
  mrclass = {14J15 (14C34 14J28)},
  mrnumber = {1106810},
  mrreviewer = {I. Dolgachev}
}

@article{Ste91,
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  author = {Sterk, Hans},
  date = {1991},
  journaltitle = {Math. Z.},
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  number = {1},
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  mrnumber = {1106810},
  mrreviewer = {I. Dolgachev},
  file = {/home/zack/Zotero/storage/NNI69G6T/Sterk - 1991 - Compactifications of the period space of Enriques .pdf}
}

@article{steenbrink1995logarithmic-embeddings,
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  date = {1965},
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  mrclass = {14.50 (20.75)},
  mrnumber = {0180554},
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}

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  fjournal = {Advances in Mathematics},
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}

@article{sterk1991compactifications-enriques1,
  title = {Compactifications of the Period Space of {{Enriques}} Surfaces. {{I}}},
  author = {Sterk, Hans},
  date = {1991},
  journaltitle = {Math. Z.},
  volume = {207},
  number = {1},
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  fjournal = {Mathematische Zeitschrift},
  mrclass = {14J15 (14C34 14J28)},
  mrnumber = {1106810},
  mrreviewer = {I. Dolgachev}
}

@article{sterk1995compactifications-enriques2,
  title = {Compactifications of the Period Space of {{Enriques}} Surfaces. {{II}}},
  author = {Sterk, Hans},
  date = {1995},
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  mrclass = {14J15 (14C34 14J28)},
  mrnumber = {1362253},
  mrreviewer = {I. Dolgachev}
}

@article{stevens1988on-canonical-singularities,
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  mrclass = {52B20 (14M25)},
  mrnumber = {1268576 (95j:52024)},
  mrreviewer = {Aleksandar Lipkovski}
}

@book{sturmfels1996grobner-bases,
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}

@article{Syd65,
  title = {Conditions Nécessaires et Suffisantes Pour l’équivalence Des Polyèdres de l’espace Euclidien à Trois Dimensions},
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  date = {1965-12-01},
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  number = {1},
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  url = {https://doi.org/10.1007/BF02564364},
  file = {/home/zack/Zotero/storage/E2VLDFFA/Sydler - 1965 - Conditions nécessaires et suffisantes pour l’équiv.pdf}
}

@online{Sym03,
  title = {Four Dimensions from Two in Symplectic Topology},
  author = {Symington, Margaret},
  date = {2002-10-02},
  eprint = {math/0210033},
  eprinttype = {arxiv},
  doi = {10.48550/arXiv.math/0210033},
  url = {http://arxiv.org/abs/math/0210033},
  urldate = {2024-01-29},
  abstract = {This paper introduces two-dimensional diagrams that are slight generalizations of moment map images for toric four-manifolds and catalogs techniques for reading topological and symplectic properties of a symplectic four-manifold from these diagrams. The paper offers a purely topological approach to toric manifolds as well as methods for visualizing other manifolds, including the K3 surface, and for visualizing certain surgeries. Most of the techniques extend to higher dimensions.},
  pubstate = {preprint},
  keywords = {{57R15 (Primary) 55R55, 53D05, 57M99 (Secondary)},Mathematics - Geometric Topology,Mathematics - Symplectic Geometry},
  file = {/home/zack/Zotero/storage/3WATZHA3/Symington - 2002 - Four dimensions from two in symplectic topology.pdf}
}

@incollection{symington2003four-dimensions,
  title = {Four Dimensions from Two in Symplectic Topology},
  booktitle = {Topology and Geometry of Manifolds ({{Athens}}, {{GA}}, 2001)},
  author = {Symington, Margaret},
  date = {2003},
  series = {Proc. {{Sympos}}. {{Pure}} Math.},
  volume = {71},
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  doi = {10.1090/pspum/071/2024634},
  url = {https://doi.org/10.1090/pspum/071/2024634},
  mrclass = {53D35 (53D20 55R55 57R17)},
  mrnumber = {2024634},
  mrreviewer = {Vicente Muñoz}
}

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  mrclass = {14E15 (14E30)},
  mrnumber = {MR1322695 (96f:14019)},
  mrreviewer = {Mark Gross},
  sauthor = {Szabó, E.}
}

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  mrclass = {10D20 (14D20 14K05 32N05)},
  mrnumber = {669424 (84b:10040)},
  mrreviewer = {K.-B. Gundlach}
}

@article{tenini14on-the-singularities,
  title = {On the Singularities of Degenerate Abelian Varieties},
  author = {Tenini, Joseph},
  date = {2014},
  journaltitle = {arXiv}
}

@thesis{tenini14results-on-an-extended,
  title = {Results on an Extended {{Torelli}} Map and Singularities of Degenerate Abelian Varieties},
  author = {Tenini, Joseph},
  date = {2014},
  institution = {University of Georgia}
}

@book{tennison1975sheaf-theory,
  title = {Sheaf Theory},
  author = {Tennison, B. R.},
  date = {1975},
  pages = {vii+164},
  publisher = {Cambridge University Press},
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  mrnumber = {MR0404390 (53 \#8192)},
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}

@article{thaddeus1996geometric-invariant,
  title = {Geometric Invariant Theory and Flips},
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  date = {1996},
  journaltitle = {J. Amer. Math. Soc.},
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  fjournal = {Journal of the American Mathematical Society},
  mrclass = {14D25 (14L30)},
  mrnumber = {1333296 (96m:14017)},
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}

@article{tian1997kahler-einstein-metrics,
  title = {Kähler-{{Einstein}} Metrics with Positive Scalar Curvature},
  author = {Tian, G.},
  date = {1997},
  journaltitle = {Invent. Math.},
  volume = {130},
  number = {1},
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  fjournal = {Inventiones Mathematicae},
  mrclass = {53C25 (32L07 53C55)},
  mrnumber = {99e:53065},
  mrreviewer = {Thalia D. Jeffres}
}

@book{tian2000canonical-metrics,
  title = {Canonical Metrics in {{Kähler}} Geometry},
  author = {Tian, G.},
  date = {2000},
  series = {Lectures in Mathematics {{ETH}} Zürich},
  pages = {vi+101},
  publisher = {Birkhäuser Verlag},
  location = {Basel},
  date-modified = {2012-12-26 19:59:09 +0000},
  isbn = {3-7643-6194-8},
  mrclass = {32Q20 (53C25 58E11)},
  mrreviewer = {Azniv Kasparian},
  optmrnumber = {2001j:32024}
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  mrclass = {05B35},
  mrnumber = {MR0437366 (55 \#10297)},
  optmrreviewer = {R. Stanley},
  sauthor = {White, N. L.}
}

@book{white1986theory-of-matroids,
  title = {Theory of Matroids},
  editor = {White, Neil},
  date = {1986},
  series = {Encyclopedia of Mathematics and Its Applications},
  volume = {26},
  pages = {xviii+316},
  publisher = {Cambridge University Press},
  location = {Cambridge},
  doi = {10.1017/CBO9780511629563},
  url = {http://dx.doi.org/10.1017/CBO9780511629563},
  isbn = {0-521-30937-9},
  mrclass = {05B35 (05-06)},
  mrnumber = {849389 (87k:05054)},
  mrreviewer = {R. P. Dilworth}
}

@book{whittaker1996a-course,
  title = {A Course of Modern Analysis},
  author = {Whittaker, E. T. and Watson, G. N.},
  date = {1996},
  series = {Cambridge Mathematical Library},
  pages = {vi+608},
  publisher = {Cambridge University Press, Cambridge},
  doi = {10.1017/CBO9780511608759},
  url = {http://dx.doi.org/10.1017/CBO9780511608759},
  isbn = {0-521-58807-3},
  mrclass = {01A75 (30-01 33-01)},
  mrnumber = {1424469}
}

@article{wilson1987toward-a-birational,
  title = {Toward a Birational Classification of Algebraic Varieties},
  author = {Wilson, P.M.H.},
  date = {1987},
  journaltitle = {Bull. London Math. Soc.},
  volume = {19},
  pages = {1--48},
  date-modified = {2012-12-26 19:59:09 +0000}
}

@book{wirtinger1895untersuchungen-uber,
  title = {Untersuchungen Über Thetafunktionen},
  author = {Wirtinger, Wilhelm},
  date = {1895},
  publisher = {Teubner},
  location = {Leipzig},
  date-modified = {2013-03-28 23:42:08 +0000}
}

@inproceedings{wlodarczyk2009resolution,
  title = {Resolution of Singularities of Analytic Spaces},
  booktitle = {Proceedings of Gökova Geometry-Topology Conference 2008, Gökova {{Geometry}}/{{Topology}} Conference ({{GGT}})},
  author = {Włodarczyk, Jarosław},
  date = {2009},
  pages = {31--63},
  date-added = {2022-02-17 21:16:08 -0500},
  date-modified = {2022-02-17 21:16:08 -0500}
}

@book{wolfram1988mathematica.-a-system,
  title = {Mathematica. {{A}} System of Doing Mathematics by Computer},
  author = {Wolfram, S.},
  date = {1988},
  publisher = {aw},
  date-modified = {2012-12-26 19:59:09 +0000}
}

@article{xiao1991bound-of-automorphisms,
  title = {Bound of Automorphisms of Surfaces of General Type, 1},
  author = {Xiao, G.},
  date = {1991},
  journaltitle = {Prépublication de l'Institut Fourier, Grenoble},
  number = {190},
  date-modified = {2012-12-26 19:59:09 +0000}
}

@article{xiao1992bound-of-automorphisms,
  title = {Bound of Automorphisms of Surfaces of General Type, 2},
  author = {Xiao, G.},
  date = {1992-10},
  journaltitle = {Prépublication de l'Université de Nice preprint},
  number = {323},
  date-modified = {2012-12-26 19:59:09 +0000}
}

@article{yau1978on-the-ricci-curvature,
  title = {On the {{Ricci}} Curvature of a Compact {{Ḱ}}'ahler Manifold and the Complex {{Monge-Ampére}} Equation 1},
  author = {Yau, S.T.},
  date = {1978},
  journaltitle = {Comm. Pure Appl. Math.},
  volume = {31},
  pages = {339--411},
  date-modified = {2012-12-26 19:59:09 +0000}
}

@article{yau1996bps,
  title = {{{BPS}} States, String Duality, and Nodal Curves on {{K3}}},
  author = {Yau, Shing-Tung and Zaslow, Eric},
  date = {1996},
  journaltitle = {Nuclear Phys. B},
  volume = {471},
  number = {3},
  pages = {503--512},
  issn = {0550-3213},
  doi = {10.1016/0550-3213(96)00176-9},
  url = {https://mathscinet-ams-org.proxy-remote.galib.uga.edu/mathscinet-getitem?mr=1398633},
  date-added = {2021-02-22 13:40:45 -0500},
  date-modified = {2021-02-22 13:41:01 -0500},
  fjournal = {Nuclear Physics. B. Theoretical, Phenomenological, and Experimental High Energy Physics. Quantum Field Theory and Statistical Systems},
  mrclass = {14N10 (14J28 81T30)},
  mrnumber = {1398633},
  mrreviewer = {Mark Gross}
}

@article{yoneda1960on-ext-and-exact-sequences,
  title = {On {{Ext}} and Exact Sequences},
  author = {Yoneda, Nobuo},
  date = {1960},
  journaltitle = {J. Fac. Sci. Univ. Tokyo Sect. I},
  volume = {8},
  pages = {507--576 (1960)},
  issn = {0040-8980},
  date-modified = {2012-12-26 19:59:09 +0000},
  fjournal = {Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics},
  mrclass = {18.20},
  mrnumber = {MR0225854 (37 \#1445)},
  mrreviewer = {G. S. Rinehart}
}

@article{yuzvinsky1987cohen-macaulay-rings,
  title = {Cohen-{{Macaulay}} Rings of Sections},
  author = {Yuzvinsky, S.},
  date = {1987},
  journaltitle = {ADVAM},
  volume = {63},
  number = {2},
  pages = {172--195},
  date-modified = {2012-12-26 19:59:09 +0000}
}

@article{Zak12a,
  title = {Scissors {{Congruence}} and {{K-theory}}},
  author = {Zakharevich, Inna},
  date = {2012-06},
  pages = {82},
  abstract = {In this thesis we develop a version of classical scissors congruence theory from the perspective of algebraic K-theory. Classically, two polytopes in a manifold X are defined to be scissors congruent if they can be decomposed into finite sets of pairwise-congruent polytopes. We generalize this notion to an abstract problem: given a set of objects and decomposition and congruence relations between them, when are two objects in the set scissors congruent? By packaging the scissors congruence information in a Waldhausen category we construct a spectrum whose homotopy groups include information about the scissors congruence problem. We then turn our attention to generalizing constructions from the classical case to these Waldhausen categories, and find constructions for cofibers, suspensions, and products of scissors congruence problems.},
  langid = {english},
  file = {/home/zack/Zotero/storage/EL48WYJD/Zakharevich - Scissors Congruence and K-theory.pdf}
}

@unpublished{Zak16,
  title = {On \${{K}}\_1\$ of an Assembler},
  author = {Zakharevich, Inna},
  date = {2016-09-16},
  eprint = {1506.06197},
  eprinttype = {arxiv},
  eprintclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.1506.06197},
  url = {http://arxiv.org/abs/1506.06197},
  urldate = {2022-06-10},
  abstract = {This paper contains a construction of generators and partial relations for \$K\_1\$ of a simplicial Waldhausen category where cofiber sequences split up to weak equivalence. The main application of these generators and relations is to produce generators for \$K\_1\$ of a (simplicial) assembler.},
  keywords = {{19D99, 18F30, 14C35, 14E07},Mathematics - Algebraic Topology,Mathematics - K-Theory and Homology},
  file = {/home/zack/Zotero/storage/RMSHZWQP/Zakharevich - 2016 - On $K_1$ of an assembler.pdf}
}

@unpublished{Zak17a,
  title = {The \${{K}}\$-Theory of Assemblers},
  author = {Zakharevich, Inna},
  date = {2016-09-19},
  eprint = {1401.3712},
  eprinttype = {arxiv},
  eprintclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.1401.3712},
  url = {http://arxiv.org/abs/1401.3712},
  urldate = {2022-06-06},
  abstract = {In this paper we introduce the notion of an assembler, which formally encodes "cutting and pasting" data. An assembler has an associated \$K\$-theory spectrum, in which \$\textbackslash pi\_0\$ is the free abelian group of objects of the assembler modulo the cutting and pasting relations, and in which the higher homotopy groups encode further geometric invariants. The goal of this paper is to prove structural theorems about this \$K\$-theory spectrum, including analogs of Quillen's localization and d\textbackslash 'evissage theorems. We demonstrate the uses of these theorems by analysing the assembler associated to the Grothendieck ring of varieties and the assembler associated to scissors congruence groups of polytopes.},
  keywords = {{19D99, 18F30, 14C35, 14E07},Mathematics - Algebraic Geometry,Mathematics - Algebraic Topology,Mathematics - K-Theory and Homology},
  file = {/home/zack/Zotero/storage/3RVG2TLQ/Zakharevich - 2016 - The $K$-theory of assemblers.pdf;/home/zack/Zotero/storage/YIGRZIQJ/1401.html}
}

@article{Zak17b,
  title = {The Annihilator of the {{Lefschetz}} Motive},
  author = {Zakharevich, Inna},
  date = {2017-08-15},
  journaltitle = {Duke Math. J.},
  volume = {166},
  number = {11},
  eprint = {1506.06200},
  eprinttype = {arxiv},
  eprintclass = {math},
  issn = {0012-7094},
  doi = {10.1215/00127094-0000016X},
  url = {http://arxiv.org/abs/1506.06200},
  urldate = {2022-06-06},
  abstract = {In this paper we study a spectrum \$K(\textbackslash mathcal\{V\}\_k)\$ such that \$\textbackslash pi\_0 K(\textbackslash mathcal\{V\}\_k)\$ is the Grothendieck ring of varieties and such that the higher homotopy groups contain more geometric information about the geometry of varieties. We use the topology of this spectrum to analyze the structure of \$K\_0[\textbackslash mathcal\{V\}\_k]\$ and show that classes in the kernel of multiplication by \$[\textbackslash mathbb\{A\}\textasciicircum 1]\$ can always be represented as \$[X]-[Y]\$ where \$X\$ and \$Y\$ are varieties such that \$[X] \textbackslash neq [Y]\$, \$X\textbackslash times \textbackslash mathbb\{A\}\textasciicircum 1\$ and \$Y\textbackslash times \textbackslash mathbb\{A\}\textasciicircum 1\$ are not piecewise isomorphic, but \$[X\textbackslash times \textbackslash mathbb\{A\}\textasciicircum 1] =[Y\textbackslash times \textbackslash mathbb\{A\}\textasciicircum 1]\$ in \$K\_0[\textbackslash mathcal\{V\}\_k]\$. Along the way we present new proofs of the result of Larsen--Lunts on the structure on \$K\_0[\textbackslash mathcal\{V\}\_k]/([\textbackslash mathbb\{A\}\textasciicircum 1])\$.},
  file = {/home/zack/Zotero/storage/ERN8H528/Zakharevich - 2017 - The annihilator of the Lefschetz motive.pdf;/home/zack/Zotero/storage/RG2V2BWK/1506.html}
}

@article{zanardini2020explicit-constructions,
  title = {Explicit Constructions of {{Halphen}} Pencils},
  author = {Zanardini, Aline},
  date = {2020},
  journaltitle = {Preprint}
}

@article{Zar30,
  title = {Coble on {{Algebraic Geometry}} and {{Theta Functions}}},
  author = {Zariski, Oscar},
  date = {1930-07},
  journaltitle = {Bulletin of the American Mathematical Society},
  volume = {36},
  number = {7},
  pages = {452--454},
  publisher = {American Mathematical Society},
  issn = {0002-9904, 1936-881X},
  url = {https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society/volume-36/issue-7/Coble-on-Algebraic-Geometry-and-Theta-Functions/bams/1183494118.full},
  urldate = {2024-01-02},
  abstract = {Bulletin (New Series) of the American Mathematical Society},
  file = {/home/zack/Zotero/storage/WYY9HPNI/Zariski - 1930 - Coble on Algebraic Geometry and Theta Functions.pdf}
}

@article{zariski1962the-theorem-of-riemann-roch,
  title = {The Theorem of {{Riemann-Roch}} for High Multiples of an Effective Divisor on an Algebraic Surface},
  author = {Zariski, O.},
  date = {1962},
  journaltitle = {ANNMA},
  volume = {76},
  pages = {560--615},
  date-modified = {2012-12-26 19:59:09 +0000}
}

@book{ziegler1995lectures-on-polytopes,
  title = {Lectures on Polytopes},
  author = {Ziegler, G.},
  date = {1995},
  series = {Graduate Texts in Mathematics},
  volume = {152},
  pages = {x+370},
  publisher = {Springer-Verlag},
  location = {New York},
  date-modified = {2012-12-26 19:59:09 +0000},
  isbn = {0-387-94365-X},
  mrclass = {52Bxx},
  mrreviewer = {Margaret M. Bayer},
  optcallnumber = {QA691.Z54 1995},
  optmrnumber = {96a:52011}
}

@online{zotero-7079,
  title = {Algebraic {{Geometry}} and {{Theta Functions}}},
  url = {https://bookstore.ams.org/coll-10},
  urldate = {2024-01-02}
}

@online{zotero-7123,
  title = {Import/{{Export Books}} to {{My Account}} | {{Goodreads}}},
  url = {https://www.goodreads.com/review/import},
  urldate = {2024-01-10}
}

@online{zotero-7134,
  title = {The {{KSBA}} Compactification of a 4-Dimensional Family of Polarized {{Enriques}} Surfaces - {{University}} of {{Georgia}}},
  url = {https://esploro.libs.uga.edu/esploro/outputs/doctoral/The-KSBA-compactification-of-a-4-dimensional/9949334171202959},
  urldate = {2024-01-16},
  file = {/home/zack/Zotero/storage/G8NJ3MPP/schaffler_luca_201708_phd.pdf}
}

@misc{zotero-7311,
  title = {Hodge {{Theory Book}}, {{Popa}}},
  url = {https://people.math.harvard.edu/~mpopa/571/chapter1.pdf},
  file = {/home/zack/Zotero/storage/F3I3P7WQ/Chapter 1.pdf}
}

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