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Cohomology of Vector Bundles and Syzygies

Cohomology of Vector Bundles and Syzygies

$147.00 (C)

Part of Cambridge Tracts in Mathematics

  • Date Published: June 2003
  • availability: Available
  • format: Hardback
  • isbn: 9780521621977

$ 147.00 (C)

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About the Authors
  • The 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
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    Reviews & endorsements 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

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    Product details

    • Date Published: June 2003
    • format: Hardback
    • isbn: 9780521621977
    • length: 384 pages
    • dimensions: 229 x 152 x 25 mm
    • weight: 0.73kg
    • contains: 43 b/w illus. 131 exercises
    • availability: 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.

  • Author

    Jerzy Weyman, Northeastern University, Boston

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