In this program
- Sheaf cohomology on schemes (Cech
- Derived functors overview)
- Divisors and line bundles on curves
- Riemann–Roch theorem for curves
- Genus and classification of algebraic curves (introduction)
- Moduli of elliptic curves (preview)
Cohomology and curves
Genus and classification of algebraic curves (introduction)
Algebraic geometry · Theoretical / proof-based
Topic
Genus and classification of algebraic curves (introduction)
Graduate Algebraic Geometry — scope drawn from open algebraic geometry notes and typical US graduate algebraic geometry syllabi.