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The geometry of syzygies : a second course in commutative algebra and algebraic geometry

Author: David Eisenbud
Publisher: New York : Springer, cop. 2005.
Series: Graduate texts in mathematics, 229.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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Offering an account of basic examples and techniques in algebraic geometry, this book illustrates the use of syzygies in many concrete geometric considerations, from interpolation to the study of  Read more...

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Document Type: Book
All Authors / Contributors: David Eisenbud
ISBN: 0387222324 9780387222325 0387222154 9780387222158
OCLC Number: 491385215
Description: 1 vol. (XVI-243 p.) : ill. ; 24 cm.
Contents: Preface: Algebra and Geometry * Free Resolutions and Hilbert Functions * First Examples of Free Resolutions * Points in P^2 * Castelnuovo-Mumford Regularity * The Regularity of Projective Curves * Linear Series and 1-Generic Matrices * Linear Complexes and the Linear Syzygy Theorem * Curves of High Degree * Clifford Index and Canonical Embedding * Appendix 1: Introduction to Local Cohomology * Appendix 2: A Jog Through Commutative Algebra * References * Index
Series Title: Graduate texts in mathematics, 229.
Responsibility: David Eisenbud.
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From the reviews: "This book is devoted to offer ... an approach to the study of this algebraic subject (syzygy = relation among generators of a module) ... . a student would learn a lot of algebraic Read more...

 
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