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
Dynamics in One Complex Variable
by John Milnor - Princeton University Press
This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the case of rational maps of the Riemann sphere. The book introduces some key ideas in the field, and forms a basis for further study.
(16594 views)
by John Milnor - Princeton University Press
This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the case of rational maps of the Riemann sphere. The book introduces some key ideas in the field, and forms a basis for further study.
(16594 views)
A First Course in Complex Analysis
by M. Beck, G. Marchesi, D. Pixton - San Francisco State University
These are the lecture notes of a one-semester undergraduate course: complex numbers, differentiation, functions, integration, Cauchy's theorem, harmonic functions, power series, Taylor and Laurent series, isolated singularities, etc.
(40448 views)
by M. Beck, G. Marchesi, D. Pixton - San Francisco State University
These are the lecture notes of a one-semester undergraduate course: complex numbers, differentiation, functions, integration, Cauchy's theorem, harmonic functions, power series, Taylor and Laurent series, isolated singularities, etc.
(40448 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.
(10136 views)
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.
(10136 views)
Several Complex Variables
by Michael Schneider, Yum-Tong Siu - Cambridge University Press
Several Complex Variables is a central area of mathematics with interactions with partial differential equations, algebraic geometry and differential geometry. This text emphasizes these interactions and concentrates on problems of current interest.
(14946 views)
by Michael Schneider, Yum-Tong Siu - Cambridge University Press
Several Complex Variables is a central area of mathematics with interactions with partial differential equations, algebraic geometry and differential geometry. This text emphasizes these interactions and concentrates on problems of current interest.
(14946 views)