Analytic theory of Abelian varieties

London Mathematical Society Lecture Note #14

by H.P.F. Swinnerton-Dyer

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.

104 pages, Kindle Edition

First published January 1, 1974

About the author

Sir Henry Peter Francis Swinnerton-Dyer, 16th Baronet (also known as Peter Swinnerton-Dyer), is a British mathematician.