← Theoretical / proof-based

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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

Riemann–Roch theorem for curves

Algebraic geometry · Theoretical / proof-based

Topic

Riemann–Roch theorem for curves

Practice by unit: Cohomology and curves

Graduate Algebraic Geometry — scope drawn from open algebraic geometry notes and typical US graduate algebraic geometry syllabi.

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