**Complex Analysis on Riemann Surfaces**

by Curtis McMullen

**Publisher**: Harvard University 2005**Number of pages**: 89

**Description**:

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.

Download or read it online for free here:

**Download link**

(560KB, PDF)

## Similar books

**Complex Analysis for Mathematics and Engineering**

by

**John H. Mathews, Russell W. Howell**-

**Jones & Bartlett Learning**

This book presents a comprehensive, student-friendly introduction to Complex Analysis concepts. Its clear, concise writing style and numerous applications make the foundations of the subject matter easily accessible to students.

(

**12196**views)

**Lectures on Holomorphic Functions of Several Complex Variables**

by

**Piotr Jakobczak, Marek Jarnicki**-

**Jagiellonian University**

The text contains the background theory of several complex variables. We discuss the extension of holomorphic functions, automorphisms, domains of holomorphy, pseudoconvexity, etc. Prerequisites are real analysis and complex analysis of one variable.

(

**2859**views)

**Lectures on Modular Functions of One Complex Variable**

by

**H. Maass**-

**Tata institute of Fundamental Research**

This is an elementary introduction to the theory of modular functions and modular forms. Basic facts from the theory of functions of a complex variable and some properties of the elementary transcendental functions are the only prerequisites.

(

**5015**views)

**Lectures on Entire Functions**

by

**B. Ya. Levin**-

**American Mathematical Society**

This monograph aims to expose the main facts of the theory of entire functions and to give their applications in real and functional analysis. The general theory starts with the fundamental results on the growth of entire functions of finite order.

(

**10547**views)