National Science Library of Georgia

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Analytic theory of Abelian varieties / H.P.F. Swinnerton-Dyer.

By: Material type: TextTextSeries: London Mathematical Society lecture note series ; 14.Publisher: Cambridge : Cambridge University Press, 1974Description: 1 online resource (vii, 90 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511662621 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 516/.353 19
LOC classification:
  • QA564 .S94 1974
Online resources: Summary: 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.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

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