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The Geometry of Syzygies

A Second Course in Commutative Algebra and Algebraic Geometry (Graduate Texts in Mathematics)

By David Eisenbud

Hardcover | 9780387222158

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Book 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 accouContinue

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.

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Book Details

  • English Books
  • Hardcover 268 Pages
  • Edition: 1
  • ISBN-10: 0387222154
  • ISBN-13: 9780387222158
  • Publisher: Springer
  • Pub date: Dec 01, 2004
  • Dimensions: 240 mm x 160 mm x 20 mm Just how big is that?
  • Also available as: Paperback
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