Analytic Theory of Abelian Varieties (London Mathematical Society Lecture Note Series, Series Number 14) - Softcover

Swinnerton-Dyer, H. P. F.

Softcover

ISBN 10: 0521205263 ISBN 13: 9780521205269

Publisher: Cambridge University Press, 1974

Synopsis

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.

About this title

Book Description

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1974
• Language: English
• ISBN 10: 0521205263
• ISBN 13: 9780521205269
• Binding: Paperback
• Edition number: 1
• Number of pages: 104