2020–21–B

Prof. Amnon Yekutieli

Abstract

See pdf files

Course topics

  1. Sheaves on topological spaces
  2. Affine schemes
  3. Schemes and morphisms between them.
  4. Quasi-coherent sheaves
  5. Separated and proper morphisms.
  6. Vector bundles and the Picard group of a scheme.
  7. The functor of points and moduli spaces.
  8. Morphisms to projective space and blow-ups.
  9. Smooth morphisms and differential forms.
  10. Sheaf cohomology.
  11. Group schemes.

University course catalogue: 201.2.2121