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25 Remote Warehouse Mathematics- Geometry and Trigonometry

Cambridge Tracts in Mathematics #149: Cohomology of Vector Bundles and Syzygies

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Cambridge Tracts in Mathematics #149: Cohomology of Vector Bundles and Syzygies Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

The central theme of this book is an exposition of the geometric technique of calculating syzygies. Written from a point of view of commutative algebra, no knowledge of representation theory is assumed. Several important applications are carefully considered, with numerous exercises for the reader.

Synopsis:

An exposition of the important geometric technique of calculating syzygies.

Synopsis:

Includes bibliographical references (p. 359-366) and indexes.

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.

Product Details

ISBN:
9780521621977
Editor:
Bollobas, B.
Editor:
Fulton, W.
Editor:
Bollobas, B.
Editor:
Bollobas, Bela
Editor:
Fulton, W.
Author:
Kirwan, F.
Author:
Katok, A.
Author:
Bollobas, B.
Author:
Weyman, Jerzy
Author:
Fulton, W.
Author:
Sarnak, P.
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
General
Subject:
Geometry - General
Subject:
Algebra - General
Subject:
Algebra - Linear
Subject:
Homology theory
Subject:
Vector bundles.
Subject:
Syzygies
Subject:
Syzygies (Mathematics)
Subject:
Mathematics-Geometry and Trigonometry
Edition Number:
1
Edition Description:
Hardcover
Series:
Cambridge Tracts in Mathematics
Series Volume:
EPA-600/7-76-020149
Publication Date:
20030631
Binding:
Hardcover
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Y
Pages:
388

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Related Subjects

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Reference » Science Reference » Philosophy of Science
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Algebra » Linear Algebra
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry

Cambridge Tracts in Mathematics #149: Cohomology of Vector Bundles and Syzygies New Hardcover
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$152.50 In Stock
Product details 388 pages Cambridge University Press - English 9780521621977 Reviews:
"Synopsis" by , The central theme of this book is an exposition of the geometric technique of calculating syzygies. Written from a point of view of commutative algebra, no knowledge of representation theory is assumed. Several important applications are carefully considered, with numerous exercises for the reader.
"Synopsis" by , An exposition of the important geometric technique of calculating syzygies.
"Synopsis" by , Includes bibliographical references (p. 359-366) and indexes.
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