Description

Book Synopsis
Presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. This text includes a treatment of the local theory.

Table of Contents
Selected problems in one complex variable Holomorphic functions of several variables Local rings and varieties The Nullstellensatz Dimension Homological algebra Sheaves and sheaf cohomology Coherent algebraic sheaves Coherent analytic sheaves Stein spaces Frechet sheaves--Cartan's theorems Projective varieties Algebraic vs. analytic--Serre's theorems Lie groups and their representations Algebraic groups The Borel-Weil-Bott theorem Bibliography Index.

Several Complex Variables with Connections to

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A Hardback by Joseph L. Taylor

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    View other formats and editions of Several Complex Variables with Connections to by Joseph L. Taylor

    Publisher: MP-AMM American Mathematical
    Publication Date: 5/30/2002 12:00:00 AM
    ISBN13: 9780821831786, 978-0821831786
    ISBN10: 082183178X

    Description

    Book Synopsis
    Presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. This text includes a treatment of the local theory.

    Table of Contents
    Selected problems in one complex variable Holomorphic functions of several variables Local rings and varieties The Nullstellensatz Dimension Homological algebra Sheaves and sheaf cohomology Coherent algebraic sheaves Coherent analytic sheaves Stein spaces Frechet sheaves--Cartan's theorems Projective varieties Algebraic vs. analytic--Serre's theorems Lie groups and their representations Algebraic groups The Borel-Weil-Bott theorem Bibliography Index.

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