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Cambridge University Press Cambridge Cohomology of Vector Bundles and Syzygies - Book 149

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Description

Explore the geometric technique of calculating syzygies through this specialized volume from Cambridge University Press. Part of the Cambridge Tracts in Mathematics series (Number 149), this text provides an exposition written from the perspective of commutative algebra. Readers will find a detailed explanation of the calculation of syzygies of determinantal varieties without the requirement of prior knowledge in representation theory. The content begins with a definition of Schur functors, examining them from both algebraic and geometric viewpoints. The text further covers various versions of Bott's Theorem and provides a careful explanation of technical methods based on a description of the direct image of a Koszul complex.

Key Features

Published by Cambridge University Press as part of the Cambridge Tracts in Mathematics series number 149.

Focuses on the geometric technique of calculating syzygies from a commutative algebra point of view.

Explains the calculation of syzygies of determinantal varieties without assuming knowledge of representation theory.

Provides a discussion of Schur functors from both algebraic and geometric perspectives.

Includes a detailed chapter on various versions of Bott's Theorem and the direct image of a Koszul complex.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
09 June 2003
Listed Since
09 February 2007

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