# Appendix: Preliminary Notions

To define


- Sheaves
  - Coherent sheaves
- Complete variety
- Homogeneous variety
- Algebraic group
  - Morphisms of algebraic groups
  - Reductive group
- Borel
- Parabolic
- Equivariant
- $\B G$
  - Some examples? $\CP^\infty, \B \GL_n(\RR)$, etc.
- \(\K\dash\)theory of an abelian category.
- Segre embedding
- Weyl group
- Modular representation
- Polar variety
- Chern class
- Borel-Moore homology
- Relative homology
- Ind-varieties and Ind-schemes