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  3. Analytic Theory of Abelian Varieties
  • Cited by 20
Publisher:
Cambridge University Press
Online publication date:
April 2013
Print publication year:
1974
Online ISBN:
9780511662621
DOI:
https://doi.org/10.1017/CBO9780511662621
Subjects:
Mathematics (general), Mathematics, Geometry and Topology
Series:
London Mathematical Society Lecture Note Series (14)
Information

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. 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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