Logo

Complex Analysis on Riemann Surfaces

Complex Analysis on Riemann Surfaces
by

Publisher: Harvard University
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

Book cover: Stability, Riemann Surfaces, Conformal Mappings: Complex Functions Theory a-3Stability, Riemann Surfaces, Conformal Mappings: Complex Functions Theory a-3
by - BookBoon
The book on complex functions theory. From the table of contents: Introduction; The argument principle, and criteria of stability; Many-valued functions and Riemann surfaces; Conformal mappings and the Dirichlet problem; Index.
(6055 views)
Book cover: Functions of a Complex VariableFunctions of a Complex Variable
by - John Wiley & sons
This book is a brief introductory account of some of the more fundamental portions of the theory of functions of a complex variable. It will give the uninitiated some idea of the nature of one of the most important branches of modem mathematics.
(2838 views)
Book cover: Dynamics in One Complex VariableDynamics in One Complex Variable
by - 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.
(10377 views)
Book cover: Functions of a Complex VariableFunctions of a Complex Variable
by - The Macmillan Company
This book is designed for students who, having acquired a good working knowledge of the calculus, desire to become acquainted with the theory of functions of a complex variable, and with the principal applications of that theory...
(5144 views)