Cohomology of Vector Bundles and Syzygies
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 the…
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Produktdetails
- ISBN: 978-0-511-05970-4
- EAN: 9780511059704
- Produktnummer: 13795747
- Verlag: Cambridge University Press
- Sprache: Englisch
- Erscheinungsjahr: 2003
- Seitenangabe: 0 S.
- Plattform: PDF
- Masse: 2'682 KB
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