# Riemann Surfaces

### MATH625

Compact Riemann Surfaces, maps to projective space, Riemann-Roch Theorem, Serre duality, Hurwitz formula, Hodge theory in dimension one, Jacobians, the Abel-Jacobi map, sheaves, Cech cohomology. Prerequisite: Mathematics 633 and Mathematics 611 or consent of instructor. One course. 3 graduate units.

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