Cohomology of Vector Bundles and Syzygies
Cohomology of Vector Bundles and Syzygies
$160.00
USDThe central theme of this book is a detailed exposition of the geometric technique of calculating syzygies. While this is an important tool in algebraic geometry, Jerzy Weyman has elected to write from the point of view of commutative algebra in order to avoid being tied to special cases from geometry. No prior knowledge of representation theory is assumed. Chapters on several applications are included, and numerous exercises will give the reader insight into how to apply this important method.
- The first time that the results on syzygies of determinantal varieties appear in book form
- Designed for commutative algebraists and algebraic geometers
- Many exercises
Reviews & endorsements
...it is a useful reference, in particular for those advanced undergraduates and graduate university students who are considering the development of their knowledge in his branch of mathematics and or focusing their work for achieving a graduate degree in sich a new area of studies."
Medhat H. Rahim, School and Science Mathematics
Product details
June 2003Hardback
9780521621977
384 pages
229 × 152 × 25 mm
0.73kg
43 b/w illus. 131 exercises
Available
Table of Contents
- 1. Introduction
- 2. Schur functions and Schur complexes
- 3. Grassmannians and flag varieties
- 4. Bott's theorem
- 5. The geometric technique
- 6. The determinantal varieties
- 7. Higher rank varieties
- 8. The nilpotent orbit closures
- 9. Resultants and discriminants.
