2018–19–A
Prof. Amnon Yekutieli
Course topics
- Sheaves on topological spaces
- Affine schemes
- Schemes and morphisms between them.
- Quasi-coherent sheaves
- Separated and proper morphisms.
- Vector bundles and the Picard group of a scheme.
- The functor of points and moduli spaces.
- Morphisms to projective space and blow-ups.
- Smooth morphisms and differential forms.
- Sheaf cohomology.
- Group schemes.
Requirements and grading
The course will be in English . It will continue in the Spring semester, as: Algebraic Geometry - Schemes (2)
Course Topics (tentative, for both semesters; more details in course web site):
- Sheaves on topological spaces.
- Ringed spaces.
- Affine Schemes.
- Schemes.
- Maps of schemes.
- Morphisms to projective space and blow-ups.
- Calculating some invariants.
- The functor of points and moduli spaces.
- Algebraic differential calculus.
- Group schemes and their Lie algebras.