@misc{AD19,
  title = {The Tetrahedron and Automorphisms of {{Enriques}} and {{Coble}} Surfaces of {{Hessian}} Type},
  author = {Allcock, Daniel and Dolgachev, Igor},
  year = {2018},
  month = sep,
  number = {arXiv:1809.07819},
  eprint = {1809.07819},
  primaryclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.1809.07819},
  urldate = {2024-05-28},
  abstract = {Consider a cubic surface satisfying the mild condition that it may be described in Sylvester's pentahedral form. There is a well-known Enriques or Coble surface S with K3 cover birationally isomorphic to the Hessian surface of this cubic surface. We describe the nef cone and the (-2)-curves of S. In the case of pentahedral parameters (1, 1, 1, 1, nonzero t) we compute the automorphism group of S. For t not 1 it is the semidirect product of the free product (Z/2)*(Z/2)*(Z/2)*(Z/2) by the symmetric group S4. In the special case t=1/16 we study the action of Aut(S) on an invariant smooth rational curve C on the Coble surface S. We describe the action and its image, both geometrically and arithmetically. In particular, we prove that Aut(S)--{$>$}Aut(C) is injective in characteristic 0 and we identify its image with the subgroup of PGL2 coming from the symmetries of a regular tetrahedron and the reflections across its facets.},
  archiveprefix = {arXiv},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/dzack/Zotero/storage/VTB8H8XV/Allcock and Dolgachev - 2018 - The tetrahedron and automorphisms of Enriques and .pdf;/home/dzack/Zotero/storage/K6DCE8AX/1809.html}
}

@misc{AE22nonsympinv,
  title = {Compactifications of Moduli Spaces of {{K3}} Surfaces with a Nonsymplectic Involution},
  author = {Alexeev, Valery and Engel, Philip},
  year = {2023},
  month = may,
  number = {arXiv:2208.10383},
  eprint = {2208.10383},
  primaryclass = {math-ph},
  publisher = {arXiv},
  doi = {10.48550/arXiv.2208.10383},
  urldate = {2024-05-17},
  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\$.},
  archiveprefix = {arXiv},
  keywords = {14J28 14D22,Mathematical Physics,Mathematics - Algebraic Geometry},
  file = {/home/dzack/Zotero/storage/7PY4GRLR/Alexeev and Engel - 2023 - Compactifications of moduli spaces of K3 surfaces .pdf;/home/dzack/Zotero/storage/GHHAAMNL/2208.html}
}

@misc{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},
  year = {2023},
  month = dec,
  number = {arXiv:2312.03638},
  eprint = {2312.03638},
  primaryclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.2312.03638},
  urldate = {2024-06-08},
  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.},
  archiveprefix = {arXiv},
  keywords = {14J28 14D22,Mathematics - Algebraic Geometry},
  file = {/home/dzack/Zotero/storage/HULQX3H2/Alexeev et al. - 2023 - Compact moduli of Enriques surfaces with a numeric.pdf;/home/dzack/Zotero/storage/3VKLVMAC/2312.html}
}

@misc{AET19,
  title = {Stable Pair Compactification of Moduli of {{K3}} Surfaces of Degree 2},
  author = {Alexeev, Valery and Engel, Philip and Thompson, Alan},
  year = {2019},
  month = apr,
  number = {arXiv:1903.09742},
  eprint = {1903.09742},
  primaryclass = {math},
  institution = {arXiv},
  doi = {10.48550/arXiv.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.},
  archiveprefix = {arXiv},
  file = {/home/dzack/Zotero/storage/7RDKWLI9/Stable Pair Compactifications Degree 2.pdf}
}

@misc{Ale23,
  title = {Reflective Hyperbolic 2-Elementary Lattices, {{K3}} Surfaces and Hyperkahler Varieties},
  author = {Alexeev, Valery},
  year = {2023},
  month = jun,
  number = {arXiv:2209.09110},
  eprint = {2209.09110},
  primaryclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.2209.09110},
  urldate = {2024-05-28},
  abstract = {We compute Coxeter diagrams of several ``large'' reflective even 2-elementary hyperbolic lattices and their maximal parabolic subdiagrams, and give some applications of these results to the theory of K3 surfaces and hyperkahler varieties.},
  archiveprefix = {arXiv},
  keywords = {14J28 20F55,Mathematics - Algebraic Geometry,Mathematics - Combinatorics,Mathematics - Group Theory},
  file = {/home/dzack/Zotero/storage/PDV5WJ3W/Alexeev - 2023 - Reflective hyperbolic 2-elementary lattices, K3 su.pdf;/home/dzack/Zotero/storage/A36Q3E5A/2209.html}
}

@article{alexeevCompactificationsModuliElliptic2023,
  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},
  year = {2023},
  month = mar,
  journal = {Geometry \& Topology},
  volume = {26},
  number = {8},
  eprint = {2002.07127},
  primaryclass = {math},
  pages = {3525--3588},
  issn = {1364-0380, 1465-3060},
  doi = {10.2140/gt.2022.26.3525},
  urldate = {2024-05-27},
  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\$).},
  archiveprefix = {arXiv},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/dzack/Zotero/storage/AX5X7R3X/Alexeev et al. - 2023 - Compactifications of moduli of elliptic K3 surface.pdf;/home/dzack/Zotero/storage/GJ4CV785/2002.html}
}

@misc{alexeevCompleteModuliPresence2004,
  title = {Complete Moduli in the Presence of Semiabelian Group Action},
  author = {Alexeev, Valery},
  year = {2004},
  month = sep,
  number = {arXiv:math/9905103},
  eprint = {math/9905103},
  institution = {arXiv},
  doi = {10.48550/arXiv.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.},
  archiveprefix = {arXiv},
  keywords = {14K10,Mathematics - Algebraic Geometry},
  file = {/home/dzack/Zotero/storage/4HVLXWJ5/Alexeev - 2004 - Complete moduli in the presence of semiabelian gro.pdf;/home/dzack/Zotero/storage/66UDN92B/9905103.html}
}

@misc{alexeevReflectiveHyperbolic2elementary2023,
  title = {Reflective Hyperbolic 2-Elementary Lattices, {{K3}} Surfaces and Hyperkahler Varieties},
  author = {Alexeev, Valery},
  year = {2023},
  month = jun,
  number = {arXiv:2209.09110},
  eprint = {2209.09110},
  primaryclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.2209.09110},
  urldate = {2024-07-04},
  abstract = {We compute Coxeter diagrams of several ``large'' reflective even 2-elementary hyperbolic lattices and their maximal parabolic subdiagrams, and give some applications of these results to the theory of K3 surfaces and hyperkahler varieties.},
  archiveprefix = {arXiv},
  keywords = {14J28 20F55,Mathematics - Algebraic Geometry,Mathematics - Combinatorics,Mathematics - Group Theory},
  file = {/home/dzack/Zotero/storage/M56FURAM/Alexeev - 2023 - Reflective hyperbolic 2-elementary lattices, K3 su.pdf;/home/dzack/Zotero/storage/5I9AFLHZ/2209.html}
}

@misc{allcockPeriodLatticeEnriques1999,
  title = {The {{Period Lattice}} for {{Enriques Surfaces}}},
  author = {Allcock, Daniel},
  year = {1999},
  month = may,
  number = {arXiv:math/9905166},
  eprint = {math/9905166},
  publisher = {arXiv},
  doi = {10.48550/arXiv.math/9905166},
  urldate = {2024-05-29},
  abstract = {We simplify the usual statement of the Torelli theorem for complex Enriques surfaces, by means of a lattice-theoretic trick. This allows easy proofs of several known results, which previously required intricate arithmetic arguments. The main new result is that the moduli space has contractible universal cover.},
  archiveprefix = {arXiv},
  keywords = {14J28 (11F55 11E12),Mathematics - Algebraic Geometry},
  file = {/home/dzack/Zotero/storage/2CPQ2SWY/Allcock - 1999 - The Period Lattice for Enriques Surfaces.pdf;/home/dzack/Zotero/storage/WM7R7FYW/9905166.html}
}

@book{AMRT75,
  title = {Smooth Compactification of Locally Symmetric Varieties},
  author = {Ash, A. and Mumford, D. and Rapoport, M. and Tai, Y.},
  year = {1975},
  series = {Lie Groups: {{History}}, Frontiers and Applications, Vol. {{IV}}},
  pages = {iv+335},
  publisher = {Math Sci Press, Brookline, Mass.},
  mrclass = {14D20 (32N10 32M15)},
  mrnumber = {0457437},
  mrreviewer = {Ichiro Satake}
}

@book{AN06,
  title = {Del {{Pezzo}} and {{K3 Surfaces}}},
  author = {Alexeev, Valery and Nikulin, Viacheslav V.},
  year = {2006},
  series = {Mathematical {{Society}} of {{Japan Memoirs}}},
  number = {Volume 15},
  publisher = {The Mathematical Society of Japan},
  address = {Tokyo, Japan},
  doi = {10.2969/msjmemoirs/015010000},
  urldate = {2024-03-28},
  isbn = {978-4-931469-34-1},
  langid = {english},
  file = {/home/dzack/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{AST_1988__165__1_0,
  title = {Point Sets in Projective Spaces and Theta Functions},
  author = {Dolgachev, Igor and Ortland, David},
  year = {1988},
  series = {Ast{\'e}risque},
  number = {165},
  publisher = {Soci{\'e}t{\'e} math{\'e}matique de France},
  langid = {english},
  mrnumber = {1007155},
  zmnumber = {0685.14029},
  file = {/home/dzack/Zotero/storage/2NAWWWZ8/Dolgachev and Ortland - 1988 - Point sets in projective spaces and theta function.pdf}
}

@misc{AT17,
  title = {{{ADE}} Surfaces and Their Moduli},
  author = {Alexeev, Valery and Thompson, Alan},
  year = {2019},
  month = oct,
  number = {arXiv:1712.07932},
  eprint = {1712.07932},
  primaryclass = {math},
  institution = {arXiv},
  doi = {10.48550/arXiv.1712.07932},
  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.},
  archiveprefix = {arXiv},
  file = {/home/dzack/Zotero/storage/WAR8QI3Q/Alexeev and Thompson - 2019 - ADE surfaces and their moduli.pdf;/home/dzack/Zotero/storage/MDS2NR9Q/1712.html}
}

@article{barthAutomorphismsEnriquesSurfaces1983,
  title = {{Automorphisms of Enriques Surfaces.}},
  author = {Barth, W. and Peters, C.},
  year = {1983},
  journal = {Inventiones mathematicae},
  volume = {73},
  pages = {383--412},
  issn = {0020-9910; 1432-1297/e},
  urldate = {2024-01-02},
  langid = {und},
  file = {/home/dzack/Zotero/storage/R376DTH8/Barth and Peters - 1983 - Automorphisms of Enriques Surfaces..pdf}
}

@book{BHPV04,
  title = {Compact Complex Surfaces},
  author = {Barth, Wolf P. and Hulek, Klaus and Peters, Chris A. M. and Ven, Antonius},
  year = {2004},
  publisher = {Springer Berlin Heidelberg},
  doi = {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}
}

@misc{CD12,
  title = {Rational Surfaces with a Large Group of Automorphisms},
  author = {Cantat, Serge and Dolgachev, Igor},
  year = {2012},
  month = jan,
  number = {arXiv:1106.0930},
  eprint = {1106.0930},
  primaryclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.1106.0930},
  urldate = {2024-05-26},
  abstract = {We classify rational surfaces for which the image of the automorphisms group in the group of linear transformations of the Picard group is the largest possible. This answers a question raised by Arthur Coble in 1928, and can be rephrased in terms of periodic orbits of a birational action of an infinite Coxeter group on ordered point sets in the projective plane modulo projective equivalence. We also outline the classification of non-rational surfaces with large automorphism groups.},
  archiveprefix = {arXiv},
  keywords = {14J26,Mathematics - Algebraic Geometry,Mathematics - Dynamical Systems,Mathematics - Group Theory},
  file = {/home/dzack/Zotero/storage/6J7V4MNZ/Cantat and Dolgachev - 2012 - Rational surfaces with a large group of automorphi.pdf;/home/dzack/Zotero/storage/SKI9WEW4/1106.html}
}

@article{Cob19,
  title = {The {{Ten Nodes}} of the {{Rational Sextic}} and of the {{Cayley Symmetroid}}},
  author = {Coble, Arthur B.},
  year = {1919},
  journal = {American Journal of Mathematics},
  volume = {41},
  number = {4},
  eprint = {2370285},
  eprinttype = {jstor},
  pages = {243--265},
  publisher = {Johns Hopkins University Press},
  issn = {0002-9327},
  doi = {10.2307/2370285},
  urldate = {2024-01-15},
  file = {/home/dzack/Zotero/storage/RY6EIZUX/Coble - 1919 - The Ten Nodes of the Rational Sextic and of the Ca.pdf}
}

@book{Cob29,
  title = {Algebraic {{Geometry}} and {{Theta Functions}}},
  author = {Coble, Arthur B.},
  year = {1929},
  month = dec,
  publisher = {American Mathematical Soc.},
  abstract = {This book is the result of extending and deepening all questions from algebraic geometry that are connected to the central problem of this book: the determination of the tritangent planes of a space curve of order six and genus four, which the author treated in his Colloquium Lecture in 1928 at Amherst. The first two chapters recall fundamental ideas of algebraic geometry and theta functions in such fashion as will be most helpful in later applications. In order to clearly present the state of the central problem, the author first presents the better-known cases of genus two (Chapter III) and genus three (Chapter IV). The case of genus four is discussed in the last chapter. The exposition is concise with a rich variety of details and references.},
  googlebooks = {o5GKAwAAQBAJ},
  isbn = {978-0-8218-4602-5},
  langid = {english},
  keywords = {Mathematics / Geometry / Algebraic},
  file = {/home/dzack/Zotero/storage/6INIJ8NK/Coble - 1929 - Algebraic Geometry and Theta Functions.pdf}
}

@article{DK13,
  title = {The Rationality of the Moduli Spaces of {{Coble}} Surfaces and of Nodal {{Enriques}} Surfaces},
  author = {Dolgachev, Igor and Kondo, Shigeyuki},
  year = {2013},
  month = jun,
  journal = {Izvestiya: Mathematics},
  volume = {77},
  number = {3},
  eprint = {1201.6093},
  primaryclass = {math},
  pages = {509--524},
  issn = {1064-5632, 1468-4810},
  doi = {10.1070/IM2013v077n03ABEH002646},
  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.},
  archiveprefix = {arXiv},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/dzack/Zotero/storage/BQNZIVYH/Dolgachev and Kondo - 2013 - The rationality of the moduli spaces of Coble surf.pdf}
}

@misc{DM19,
  title = {Lagrangian Tens of Planes, {{Enriques}} Surfaces and Holomorphic Symplectic Fourfolds},
  author = {Dolgachev, Igor and Markushevich, Dimitri},
  year = {2020},
  month = jan,
  number = {arXiv:1906.01445},
  eprint = {1906.01445},
  primaryclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.1906.01445},
  urldate = {2024-06-14},
  abstract = {The Fano models of Enriques surfaces produce a family of tens of mutually intersecting planes in \${\textbackslash}mathbf P{\textasciicircum}5\$ with a \$10\$-dimensional moduli space. The latter is linked to several 10-dimensional moduli spaces parametrizing other types of objects: a) cubic fourfolds containing the tens of planes, b) Beauville--Donagi holomorphically symplectic fourfolds, and c) double EPW sextics. The varieties in b) parametrize lines on cubic fourfolds from a). The double EPW sextics are associated, via O'Grady's construction, to Lagrangian subspaces of the Pl{\textbackslash}"ucker space of the Grassmannian \$Gr(2,{\textbackslash}mathbf P{\textasciicircum}5)\$ spanned by 10 mutually intersecting planes in \${\textbackslash}mathbf P{\textasciicircum}5\$. These links imply the irreducibility of the moduli space of supermarked Enriques surfaces, where a supermarking is a choice of a minimal generating system of the Picard group of the surface. Also some results are obtained on the variety of tens of mutually intersecting planes, not necessarily associated to Fano models of Enriques surfaces.},
  archiveprefix = {arXiv},
  keywords = {14J28 14J35 14J10 14N20,Mathematics - Algebraic Geometry},
  file = {/home/dzack/Zotero/storage/EF79DX4I/Dolgachev and Markushevich - 2020 - Lagrangian tens of planes, Enriques surfaces and h.pdf;/home/dzack/Zotero/storage/D79GKRCV/1906.html}
}

@misc{Dol17,
  title = {Salem Numbers and {{Enriques}} Surfaces},
  author = {Dolgachev, Igor},
  year = {2017},
  month = jan,
  number = {arXiv:1601.04222},
  eprint = {1601.04222},
  primaryclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.1601.04222},
  urldate = {2024-06-27},
  abstract = {It is known that the dynamical degree, or equivalently, the topological entropy of an automorphism g of an algebraic surface S is lower semi-continuous when (S,g) varies in a algebraic family. In this paper we make a series of experiments confirming this behavior with the aim to realize small Salem numbers as the dynamical degrees of automorphisms of Enriques surfaces.},
  archiveprefix = {arXiv},
  keywords = {14J28 32F10,Mathematics - Algebraic Geometry},
  file = {/home/dzack/Zotero/storage/5MWQUE8G/Dolgachev - 2017 - Salem numbers and Enriques surfaces.pdf;/home/dzack/Zotero/storage/KF7C5T9Y/1601.html}
}

@misc{DZ99,
  title = {Coble {{Rational Surfaces}}},
  author = {Dolgachev, I. and Zhang, D.-Q.},
  year = {1999},
  month = sep,
  journal = {arXiv.org},
  urldate = {2024-01-02},
  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.},
  howpublished = {https://arxiv.org/abs/math/9909135v1},
  langid = {english},
  file = {/home/dzack/Zotero/storage/RCG94W99/Dolgachev and Zhang - 1999 - Coble Rational Surfaces.pdf}
}

@article{EnriquesOne,
  title = {Enriques Surfaces {{I}}},
  author = {Cossec, Cdl20]cdl20 F. and Dolgachev, I. and Liedtke, C.},
  year = {2024},
  unidentified = {pdf},
  file = {/home/dzack/Zotero/storage/8QKERMC7/EnriquesOne.pdf}
}

@book{EnriquesTwo,
  title = {Enriques {{Surfaces II}}},
  author = {Dolgachev, Igor and Kond{\=o}, Shigeyuki, Shigeyuki},
  year = {2024},
  file = {/home/dzack/Zotero/storage/XRWKZH53/Dolgachev and Kondō, Shigeyuki - Enriques Surfaces II.pdf}
}

@incollection{harderGeometryModuliK32015,
  title = {The {{Geometry}} and {{Moduli}} of {{K3 Surfaces}}},
  author = {Harder, Andrew and Thompson, Alan},
  year = {2015},
  volume = {34},
  eprint = {1501.04049},
  primaryclass = {math},
  pages = {3--43},
  doi = {10.1007/978-1-4939-2830-9_1},
  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.},
  archiveprefix = {arXiv},
  keywords = {valery-recommended},
  file = {/home/dzack/Zotero/storage/HGU2NFC2/Harder and Thompson - 2015 - The Geometry and Moduli of K3 Surfaces.pdf}
}

@article{horikawaPeriodsEnriquesSurfaces1977,
  title = {On the Periods of Enriques Surfaces, {{II}}},
  author = {Horikawa, Eiji},
  year = {1977},
  month = may,
  journal = {Proceedings of the Japan Academy, Series A, Mathematical Sciences},
  volume = {53},
  number = {2},
  pages = {53--55},
  publisher = {The Japan Academy},
  issn = {0386-2194},
  doi = {10.3792/pjaa.53.53},
  urldate = {2024-06-27},
  abstract = {Proceedings of the Japan Academy, Series A, Mathematical Sciences},
  keywords = {14D20,14J10},
  file = {/home/dzack/Zotero/storage/Q7CBFHQY/Horikawa - 1977 - On the periods of enriques surfaces, II.pdf}
}

@article{horikawaPeriodsEnriquesSurfaces1978,
  title = {On the Periods of {{Enriques}} Surfaces. {{II}}},
  author = {Horikawa, Eiji},
  year = {1978},
  month = oct,
  journal = {Mathematische Annalen},
  volume = {235},
  number = {3},
  pages = {217--246},
  issn = {1432-1807},
  doi = {10.1007/BF01420123},
  urldate = {2024-06-27},
  langid = {english},
  keywords = {Enriques Surface},
  file = {/home/dzack/Zotero/storage/RZCEN3FX/Horikawa - 1978 - On the periods of Enriques surfaces. II.pdf}
}

@book{huybrechtsLecturesK3Surfaces2016,
  title = {Lectures on {{K3 Surfaces}}},
  author = {Huybrechts, Daniel},
  year = {2016},
  publisher = {Cambridge University Press},
  address = {Cambridge},
  doi = {10.1017/CBO9781316594193},
  urldate = {2022-06-07},
  isbn = {978-1-316-59419-3},
  langid = {english},
  keywords = {valery-recommended},
  file = {/home/dzack/Zotero/storage/FKYJCUPN/Huybrechts - 2016 - Lectures on K3 Surfaces.pdf}
}

@article{kiernan1972satake-compactification,
  title = {Satake Compactification and Extension of Holomorphic Mappings},
  author = {Kiernan, Peter and Kobayashi, Shoshichi},
  year = {1972},
  journal = {Inventiones Mathematicae},
  volume = {16},
  pages = {237--248},
  issn = {0020-9910,1432-1297},
  doi = {10.1007/BF01425496},
  fjournal = {Inventiones Mathematicae},
  mrclass = {32H20},
  mrnumber = {310297},
  mrreviewer = {W. Barth},
  file = {/home/dzack/Zotero/storage/WMKJPQMM/Kiernan and Kobayashi - 1972 - Satake compactification and extension of holomorph.pdf}
}

@misc{kollarArthurByronCoble2023,
  title = {Arthur {{Byron Coble}}, 1878--1966},
  author = {Koll{\'a}r, J{\'a}nos},
  year = {2023},
  month = jun,
  number = {arXiv:2306.05940},
  eprint = {2306.05940},
  primaryclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.2306.05940},
  urldate = {2024-06-06},
  abstract = {A short essay on the life and mathematical heritage of Coble. A substantially edited version will be part of the series of biographical memoirs of past members of the National Academy of Sciences. Version 2: minor changes.},
  archiveprefix = {arXiv},
  keywords = {Mathematics - Algebraic Geometry,Mathematics - History and Overview},
  file = {/home/dzack/Zotero/storage/QKUT4KV7/Kollár - 2023 - Arthur Byron Coble, 1878--1966.pdf;/home/dzack/Zotero/storage/ZGHM3D6W/2306.html}
}

@article{kondoCobleSurfacesFinite2022,
  title = {Coble Surfaces with Finite Automorphism Group},
  author = {Kond{\=o}, Shigeyuki},
  year = {2022},
  month = aug,
  journal = {Rendiconti del Circolo Matematico di Palermo Series 2},
  volume = {71},
  number = {2},
  pages = {829--864},
  issn = {0009-725X, 1973-4409},
  doi = {10.1007/s12215-021-00646-2},
  urldate = {2024-01-10},
  abstract = {We classify Coble surfaces with finite automorphism group in characteristic p {$\geq$} 0, p {$\neq$} 2{$\mkern1mu$}. There are exactly 9 isomorphism classes of such surfaces.},
  langid = {english},
  file = {/home/dzack/Zotero/storage/9VXX7NL5/Kondō - 2022 - Coble surfaces with finite automorphism group.pdf}
}

@misc{MathJobsAmericanMathematical,
  title = {{{MathJobs}} from the the {{American Mathematical Society}}},
  urldate = {2024-11-30},
  abstract = {Mathjobs is an automated job application system sponsored by the AMS.},
  howpublished = {https://www.mathjobs.org/jobs},
  langid = {english},
  file = {/home/dzack/Zotero/storage/3ENP2YJ7/jobs.html}
}

@article{Mor81,
  title = {Semistable Degenerations of {{Enriques}}' and Hyperelliptic Surfaces},
  author = {Morrison, David R.},
  year = {1981},
  month = mar,
  journal = {Duke Mathematical Journal},
  volume = {48},
  number = {1},
  pages = {197--249},
  publisher = {Duke University Press},
  issn = {0012-7094, 1547-7398},
  doi = {10.1215/S0012-7094-81-04813-4},
  urldate = {2024-04-29},
  abstract = {Duke Mathematical Journal},
  keywords = {14E30,14J15},
  file = {/home/dzack/Zotero/storage/UNLWAZH7/Morrison - 1981 - Semistable degenerations of Enriques’ and hyperell.pdf}
}

@article{nikulin1979integer-symmetric,
  title = {Integer Symmetric Bilinear Forms and Some of Their Geometric Applications},
  author = {Nikulin, V. V.},
  year = {1979},
  journal = {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},
  file = {/home/dzack/Zotero/storage/STIFCV9C/Nikulin - 1979 - Integer symmetric bilinear forms and some of their.pdf}
}

@article{nikulin1979quotient-groups,
  title = {Quotient-Groups of Groups of Automorphisms of Hyperbolic Forms of Subgroups Generated by 2-Reflections},
  author = {Nikulin, V. V.},
  year = {1979},
  journal = {Doklady Akademii 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/dzack/Zotero/storage/IBD8ECV6/Nikulin - 1979 - Quotient-groups of groups of automorphisms of hype.pdf}
}

@misc{Nue16,
  title = {Unirationality of Moduli Spaces of Special Cubic Fourfolds and {{K3}} Surfaces},
  author = {Nuer, Howard},
  year = {2016},
  month = jun,
  number = {arXiv:1503.05256},
  eprint = {1503.05256},
  primaryclass = {math},
  publisher = {arXiv},
  doi = {10.48550/arXiv.1503.05256},
  urldate = {2024-06-07},
  abstract = {We provide explicit descriptions of the generic members of Hassett's divisors \${\textbackslash}mathcal C\_d\$ for relevant \$18{\textbackslash}leq d{\textbackslash}leq 38\$ and for \$d=44\$. In doing so, we prove that \${\textbackslash}mathcal C\_d\$ is unirational for \$18{\textbackslash}leq d{\textbackslash}leq 38,d=44\$. As a corollary, we prove that the moduli space \${\textbackslash}mathcal N\_\{d\}\$ of polarized K3 surfaces of degree \$d\$ is unirational for \$d=14,26,38\$. The case \$d=26\$ is entirely new, while the other two cases have been previously proven by Mukai.},
  archiveprefix = {arXiv},
  keywords = {14D20,Mathematics - Algebraic Geometry},
  file = {/home/dzack/Zotero/storage/FCICYM6S/Nuer - 2016 - Unirationality of moduli spaces of special cubic f.pdf;/home/dzack/Zotero/storage/6X3F8P2V/1503.html}
}

@misc{oguisoCobleQuestionComplex2019,
  title = {Coble's Question and Complex Dynamics of Inertia Groups on Surfaces},
  author = {Oguiso, Keiji and Yu, Xun},
  year = {2019},
  month = apr,
  number = {arXiv:1904.00175},
  eprint = {1904.00175},
  primaryclass = {math},
  publisher = {arXiv},
  urldate = {2024-04-29},
  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.},
  archiveprefix = {arXiv},
  langid = {english},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/dzack/Zotero/storage/JVL5S65J/Oguiso and Yu - 2019 - Coble's question and complex dynamics of inertia g.pdf}
}

@misc{oguisoCobleQuestionComplex2019a,
  title = {Coble's Question and Complex Dynamics of Inertia Groups on Surfaces},
  author = {Oguiso, Keiji and Yu, Xun},
  year = {2019},
  month = apr,
  number = {arXiv:1904.00175},
  eprint = {1904.00175},
  primaryclass = {math},
  publisher = {arXiv},
  urldate = {2024-04-29},
  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.},
  archiveprefix = {arXiv},
  langid = {english},
  keywords = {Mathematics - Algebraic Geometry},
  file = {/home/dzack/Zotero/storage/ZWRTQVI8/Oguiso and Yu - 2019 - Coble's question and complex dynamics of inertia g.pdf}
}

@article{petersK3DoublePlanes2020,
  title = {On {{K3}} Double Planes Covering {{Enriques}} Surfaces},
  author = {Peters, Chris and Sterk, Hans},
  year = {2020},
  month = apr,
  journal = {Mathematische Annalen},
  volume = {376},
  number = {3},
  pages = {1599--1628},
  issn = {1432-1807},
  doi = {10.1007/s00208-018-1718-4},
  urldate = {2024-01-29},
  abstract = {The moduli space of nodal Enriques surfaces is irreducible of dimension 9. A nodal Enriques surface is shown to be the quotient of a double cover of the plane by a lift of the Cremona involution. We also show that this gives a straightforward proof of the known description of the automorphism group for the generic such surface.},
  langid = {english},
  keywords = {14J28,32J15,32J25},
  file = {/home/dzack/Zotero/storage/GI4TGGQJ/Peters and Sterk - 2020 - On K3 double planes covering Enriques surfaces.pdf}
}

@article{PSS71,
  title = {A Torelli Theorem for Algebraic Surfaces of Type {{K3}}},
  author = {{Pjateckii-{\v S}apiro}, I. I. and Shafarevich, I. R.},
  year = {1971},
  month = jun,
  journal = {Izvestiya: Mathematics},
  volume = {5},
  number = {3},
  pages = {547--588},
  doi = {10.1070/IM1971v005n03ABEH001075},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System},
  adsurl = {https://ui.adsabs.harvard.edu/abs/1971IzMat...5..547P}
}

@article{Sca87,
  title = {{$<$}a Href="{{https://doi-org.biblio-proxy.uniroma3.it/10.1090/memo/0374"$>$}}{{On the compactification of moduli spaces for algebraic K3 surfaces}}{$<$}/A{$>$}},
  author = {Scattone, Francesco},
  year = {1987},
  journal = {Memoirs of the American Mathematical Society},
  volume = {70},
  number = {374},
  pages = {x+86},
  issn = {0065-9266},
  doi = {10.1090/memo/0374},
  fjournal = {Memoirs of the American Mathematical Society},
  mrclass = {14J28 (11E08 14J10 32G13 32J05 32M15)},
  mrnumber = {912636},
  mrreviewer = {I. Dolgachev},
  file = {/home/dzack/Downloads/ON_THE_COMPACTIFICATION_OF_MOD.pdf}
}

@article{Sha81,
  title = {Projective Degenerations of Enriques' Surfaces},
  author = {Shah, Jayant},
  year = {1981},
  month = aug,
  journal = {Mathematische Annalen},
  volume = {256},
  number = {4},
  pages = {475--495},
  publisher = {{Springer Science and Business Media LLC}},
  langid = {english},
  file = {/home/dzack/Zotero/storage/EKAWPJHJ/Shah - 1981 - Projective degenerations of enriques' surfaces.pdf}
}

@article{Ste91,
  title = {Compactifications of the Period Space of {{Enriques}} Surfaces. {{I}}},
  author = {Sterk, Hans},
  year = {1991},
  journal = {Mathematische Zeitschrift},
  volume = {207},
  number = {1},
  pages = {1--36},
  issn = {0025-5874},
  doi = {10.1007/BF02571372},
  fjournal = {Mathematische Zeitschrift},
  mrclass = {14J15 (14C34 14J28)},
  mrnumber = {1106810},
  mrreviewer = {I. Dolgachev},
  file = {/home/dzack/Zotero/storage/9GW2ZHRB/Sterk - 1991 - Compactifications of the period space of Enriques .pdf}
}

@article{vinbergTwoMostAlgebraic1983,
  title = {The Two Most Algebraic {{K3}} Surfaces},
  author = {Vinberg, {\`E}. B.},
  year = {1983},
  month = mar,
  journal = {Mathematische Annalen},
  volume = {265},
  number = {1},
  pages = {1--21},
  issn = {1432-1807},
  doi = {10.1007/BF01456933},
  urldate = {2024-06-15},
  langid = {english},
  file = {/home/dzack/Zotero/storage/KIKICBWA/Vinberg - 1983 - The two most algebraic K3 surfaces.pdf}
}