Analytic Theory of Abelian Varieties

by H. P. F. Swinnerton-Dyer

Overview

The study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly periodic functions of one complex variable. When an abelian manifold is embedded in a projective space it is termed an abelian variety in an algebraic geometrical sense. This introduction presupposes little more than a basic course in complex variables. The notes contain all the material on abelian manifolds needed for application to geometry and number theory, although they do not contain an exposition of either application. Some geometrical results are included however.

Product Details

ISBN-13:	9780521205269
Publisher:	Cambridge University Press
Publication date:	12/12/1974
Series:	London Mathematical Society Lecture Note Series , #14
Pages:	104
Product dimensions:	5.98(w) x 9.02(h) x 0.24(d)

Table of Contents

1. Background; 2. The functions and Reimann forms; 3. Morphisms, polarizations and duality.