Cohomology of Vector Bundles and Syzygies

Name: Cohomology of Vector Bundles and Syzygies
Price: 128.29 USD
Availability: InStock
ISBN: 9780521621977

ISBN-10: 0521621976

ISBN-13: 9780521621977

Edition: 2003

Authors: Jerzy Weyman, B. Bollobas, W. Fulton, A. Katok, F. Kirwan

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Description:

The central theme of this book is an exposition of the geometric technique of calculating syzygies. It is written from a point of view of commutative algebra, and without assuming any knowledge of representation theory the calculation of syzygies of determinantal varieties is explained. The starting point is a definition of Schur functors, and these are discussed from both an algebraic and geometric point of view. Then a chapter on various versions of Bott's Theorem leads on to a careful explanation of the technique itself, based on a description of the direct image of a Koszul complex. Applications to determinantal varieties follow, plus there are also chapters on applications of the…

Book details

List price: $149.99
Copyright year: 2003
Publisher: Cambridge University Press
Publication date: 6/9/2003
Binding: Hardcover
Pages: 384
Size: 6.25" wide x 9.00" long x 1.25" tall
Weight: 1.496
Language: English




Introduction



Schur functions and Schur complexes



Grassmannians and flag varieties



Bott's theorem



The geometric technique



The determinantal varieties



Higher rank varieties



The nilpotent orbit closures



Resultants and discriminants