The Geometry of Syzygies

A Second Course in Commutative Algebra and Algebraic Geometry

  • David Eisenbud

Part of the Graduate Texts in Mathematics book series (GTM, volume 229)

Table of contents

About this book

Introduction

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).

Keywords

Grad Interpolation algebra algebraic geometry commutative algebra equation function geometry theorem

Authors and affiliations

  • David Eisenbud
    • 1
  1. 1.Mathematical Sciences Research InstituteBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/b137572
  • Copyright Information Springer Science+Business Media, Inc. 2005
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-22215-8
  • Online ISBN 978-0-387-26456-1
  • Series Print ISSN 0072-5285
  • About this book