The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra Hardcover - 2004 - 1st Edition
by David Eisenbud
First line
A minimal free resolution is an invariant associated to a graded module over a ring graded by the natural numbers N or by Nn.
From the rear cover
Algebraic Geometry often seems very abstract, but in fact it is full of concrete examples and problems. This side of the subject can be approached through the equations of a variety, and the syzygies of these equations are a necessary part of the study. This book is the first textbook-level account of basic examples and techniques in this area. It illustrates the use of syzygies in many concrete geometric considerations, from interpolation to the study of canonical curves. The text has served as a basis for graduate courses by the author at Berkeley, Brandeis, and in Paris. It is also suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already. As an aid to the reader, an appendix provides a summary of commutative algebra, tying together examples and major results from a wide range of topics.
David Eisenbud is the director of the Mathematical Sciences Research Institute, President of the American Mathematical Society (2003-2004), and Professor of Mathematics at University of California, Berkeley. His other books include Commutative Algebra with a View Toward Algebraic Geometry (1995), and The Geometry of Schemes, with J. Harris (1999).
Details
- Title The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra
- Author David Eisenbud
- Binding Hardcover
- Edition number 1st
- Edition 1
- Pages 246
- Volumes 1
- Language ENG
- Publisher Springer, New York, NY
- Date 2004-12-01
- Illustrated Yes
- ISBN 9780387222158 / 0387222154
- Weight 1.22 lbs (0.55 kg)
- Dimensions 9.21 x 6.14 x 0.63 in (23.39 x 15.60 x 1.60 cm)
- Library of Congress subjects Geometry, Algebraic, Commutative algebra
- Library of Congress Catalog Number 2004058970
- Dewey Decimal Code 512.5
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The Geometry of Syzygies: A Second Course in Commutative Algebra and Algebraic Geometry. Graduate Texts in Mathematics 229
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