COHOMOLOGY OF VECTOR BUNDLES AND SYZYGIES by Jerzy Weyman ( 9780521621977 )

Item Details

Title:

COHOMOLOGY OF VECTOR BUNDLES AND SYZYGIES

By:

Jerzy Weyman

Format:

Hardback

List price:

£134.00

Our price:

£117.25

Discount:

12.5% off

You save:

£16.75

ISBN 10:

0521621976

ISBN 13:

9780521621977

Availability:

Usually dispatched within 1-3 weeks.

Delivery rates

Stock:

Currently 0 available

Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

9 June, 2003

Series:

Cambridge Tracts in Mathematics No.149

Pages:

384

Description:

An exposition of the important geometric technique of calculating syzygies.

Synopsis:

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.

Illustrations:

43 b/w illus. 131 exercises

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

Some other items by this author:

COHOMOLOGY OF VECTOR BUNDLES AND SYZYGIES

INTRODUCTION TO QUIVER REPRESENTATIONS (HB)