Hidden Bibliographic Details
| ISBN: | 0511066015
9780511066016
0511546556
9780511546556
0521621976
9780521621977
9780511059704
0511059701
0511308469
9780511308468
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| Notes: | Includes bibliographical references (pages 359-366) and indexes.
Print version record.
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| Summary: | 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 technique to rank varieties for symmetric and skew symmetric tensors of arbitrary degree, closures of conjugacy classes of nilpotent matrices, discriminants and resultants. Numerous exercises are included to give the reader insight into how to apply this important method.
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| Other form: | Print version: Weyman, Jerzy, 1955- Cohomology of vector bundles and syzygies. Cambridge ; New York : Cambridge University Press, 2003 0521621976
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| Standard no.: | 780511066016
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