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: Lectures On The General Theory Of Integral FunctionsLectures On The General Theory Of Integral Functions
by - Chelsea Pub. Co.
These lectures give us, in the form of a number of elegant and illuminating theorems, the latest word of mathematical science on the subject of Integral Functions. They descend to details, they take us into the workshop of the working mathematician.
(1920 views)
Book cover: Lectures on The Riemann Zeta-FunctionLectures on The Riemann Zeta-Function
by - Tata Institute of Fundamental Research
These notes provide an intorduction to the theory of the Riemann Zeta-function for students who might later want to do research on the subject. The Prime Number Theorem, Hardy's theorem, and Hamburger's theorem are the principal results proved here.
(7923 views)
Book cover: Notes on Automorphic FunctionsNotes on Automorphic Functions
by - Kobenhavns Universitet
In mathematics, the notion of factor of automorphy arises for a group acting on a complex-analytic manifold. From the contents: Moebius transformations; Discrete subgroups; Modular groups; Automorphic forms; Poincare Series and Eisenstein Series.
(8160 views)
Book cover: Complex Analysis for Mathematics and EngineeringComplex Analysis for Mathematics and Engineering
by - 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.
(12692 views)