ENGLISH

The Geometry of Syzygies: A Second Course in Commutative Algebra and Algebraic Geometry

By David Eisenbud (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2005
ISBN
9780387222158, 9780387222325, 0387222154, 0387222324
DOI
10.1007/b137572
Open Library ID
OL7444411M
Language
english
Format
PDF
Filesize
1 MB (1435193 bytes)
Series
Graduate Texts in Mathematics 229
Edition
1
Pages
246\241
Library
Kolxo3
Time added
2009-07-20 03:45:11
Algebraic Geometry; Algebra

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, 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).

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