Abstract

Riemann surfaces: Basic definitions Functions and maps More examples of Riemann surfaces Integration on Riemann surfaces Divisors and meromorphic functions Algebraic curves and the Riemann-Roch theorem Applications of Riemann-Roch Abel's theorem Sheaves and Cech cohomology Algebraic sheaves Invertible sheaves, line bundles, and $\check H^1$ References Index of notation Index of terminology.

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