Analytic theory of Abelian varieties
著者
書誌事項
Analytic theory of Abelian varieties
（London Mathematical Society lecture note series, 14）
Cambridge University Press, 1974
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注記
Bibliography: p. 87-88
Includes index
内容説明・目次
内容説明
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.
目次
- 1. Background
- 2. The functions and Reimann forms
- 3. Morphisms, polarizations and duality.
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