Description

Book Synopsis
Introduces the classical theory of complex tori and abelian varieties, presenting modern aspects of complex algebraic and analytic geometry. Beginning with complex elliptic curves, this textbook moves on to the higher-dimensional case, giving characterizations from different points of view of those complex tori which are abelian varieties.

Table of Contents
Lattices and complex tori Elliptic curves Differential forms and de Rham cohomology Theta functions and divisors Line bundles, sheaf cohomology, and first Chern class Abelian varieties Moduli spaces Subvarieties of a complex torus Bibliography Index.

Complex Tori and Abelian Varieties

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    A Paperback by American Mathem American Mathem

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      View other formats and editions of Complex Tori and Abelian Varieties by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 7/30/2005 12:00:00 AM
      ISBN13: 9780821831656, 978-0821831656
      ISBN10: 0821831658

      Description

      Book Synopsis
      Introduces the classical theory of complex tori and abelian varieties, presenting modern aspects of complex algebraic and analytic geometry. Beginning with complex elliptic curves, this textbook moves on to the higher-dimensional case, giving characterizations from different points of view of those complex tori which are abelian varieties.

      Table of Contents
      Lattices and complex tori Elliptic curves Differential forms and de Rham cohomology Theta functions and divisors Line bundles, sheaf cohomology, and first Chern class Abelian varieties Moduli spaces Subvarieties of a complex torus Bibliography Index.

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