Complex Analysis on Riemann Surfaces

Complex Analysis on Riemann Surfaces

Publisher: Harvard University
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.

Download or read it online for free here:
Download link
(560KB, PDF)

Similar books

Book cover: Theory of Functions of a Complex VariableTheory of Functions of a Complex Variable
by - Cambridge University Press
The present treatise is an attempt to give a consecutive account of what may fairly be deemed the principal branches of the whole subject. The book may assist mathematicians, by lessening the labour of acquiring a proper knowledge of the subject.
Book cover: The Elementary Properties of the Elliptic FunctionsThe Elementary Properties of the Elliptic Functions
by - Macmillan
This textbook will supply the wants of those students who, for reasons connected with examinations or otherwise, wish to have a knowledge of the elements of Elliptic Functions, not including the Theory of Transformations and the Theta Functions.
Book cover: Complex AnalysisComplex Analysis
by - Kobenhavns Universitet
Contents: Holomorphic functions; Contour integrals and primitives; The theorems of Cauchy; Applications of Cauchy's integral formula; Zeros and isolated singularities; The calculus of residues; The maximum modulus principle; Moebius transformations.
Book cover: Lectures on Riemann MatricesLectures on Riemann Matrices
by - Tata Institute of Fundamental Research
A systematic study of Riemann matrices which arise in a natural way from the theory of abelian functions. Contents: Abelian Functions; Commutator-algebra of a R-matrix; Division algebras over Q with a positive involution; Cyclic algebras; etc.