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.

Course Information

University course catalogue:
201.2.0121
Level:
Graduate
Credits:
2.0
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