The Geometry of Syzygies

[Nguyen Trung Hoa]

The Geometry of Syzygies




The Geometry of Syzygies





The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra
Publisher: Springer | Pages: 243 | 2004-12-01 | ISBN 0387222154 | PDF | 14 MB


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.

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