Complex Analysis on Riemann Surfaces by Curtis McMullen
Publisher: Harvard University 2005
Number of pages: 89
Contents: Maps between Riemann surfaces; Sheaves and analytic continuation; Algebraic functions; Holomorphic and harmonic forms; Cohomology of sheaves; Cohomology on a Riemann surface; Riemann-Roch; Serre duality; Maps to projective space; Line bundles; Curves and their Jacobians; Hyperbolic geometry; Quasiconformal geometry.
Mathematics Analysis & Calculus Complex Analysis Geometry & Topology Differential Geometry Riemannian Geometry