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Cohomology of Vector Bundles and Syzygies
Jerzy Weyman
€ 164.30
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Description for Cohomology of Vector Bundles and Syzygies
Hardback. An exposition of the important geometric technique of calculating syzygies. Series: Cambridge Tracts in Mathematics. Num Pages: 384 pages, 43 b/w illus. 131 exercises. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 25. Weight in Grams: 684.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2003
Publisher
Cambridge University Press United Kingdom
Number of pages
388
Condition
New
Series
Cambridge Tracts in Mathematics
Number of Pages
384
Place of Publication
Cambridge, United Kingdom
ISBN
9780521621977
SKU
V9780521621977
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-1
Reviews for Cohomology of Vector Bundles and Syzygies
' … read this book … instantly became the standard reference …' Zentralblatt MATH