Cohomology of Vector Bundles and Syzygies
List Price: $141.00
Publisher: Cambridge University Press
Binding: Trade Cloth
Size: 6.25" wide x 9.00" long x 1.25" tall
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 More...
|Schur functions and Schur complexes|
|Grassmannians and flag varieties|
|The geometric technique|
|The determinantal varieties|
|Higher rank varieties|
|The nilpotent orbit closures|
|Resultants and discriminants|
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