The Geometry of Syzygies

A Second Course in Algebraic Geometry and Commutative Algebra

By:

David Eisenbud

Format:

Paperback / softback

Series:

Graduate Texts in Mathematics,

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Description

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, the appendices provide summaries of local cohomology and commutative algebra, tying together examples and major results from a wide range of topics.

Author Biography:

The author taught at Brandeis University for twenty-seven years, with sabbatical time spent in Paris, Bonn, and Berkeley, and became Director of the Mathematical Sciences Research Institute in Berkeley in the Summer of 1997. At the same time he joined the faculty of UC Berkeley as Professor of Mathematics. In 2003 he became President of the American Mathematical Society. He currently serves on several editorial boards (Annals of Mathematics, Bulletin du Société Mathématique de France, Springer-Verlag's book series Algorithms and Computation in Mathematics).

Release date NZ

February 1st, 2005

Author

David Eisenbud

Audience

Professional & Vocational

Illustrations

XIV, 246 p.

Pages

246

Series

Graduate Texts in Mathematics,

Dimensions

156x234x14

ISBN-13

9780387222325

Product ID

2048981

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