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

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...

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書誌詳細
第一著者: Eisenbud, David, 1947-...., mathématicien
フォーマット: Livre numérique
言語:Anglais
出版事項: New York, NY : Springer New York [20..].
Cham : Springer Nature
版:1st ed. 2005.
シリーズ:Graduate Texts in Mathematics 229
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Edition sous un autre format:• The geometry of syzygies, a second course in commutative algebra and algebraic geometry, David Eisenbud, 2005, New York, Springer, 1 vol. (XVI-243 p.), Graduate texts in mathematics, 0-387-22232-4
その他の書誌記述
要約: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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ISBN:9780387264561
ISSN:2197-5612
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