The Geometry of Syzygies / Nejlevnější knihy
The Geometry of Syzygies

Kód: 01380971

The Geometry of Syzygies

Autor David Eisenbud

First textbook-level account of basic examples and techniques in this area.§Suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already. §David Eisenbud is a well-known mathematician a ... celý popis

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First textbook-level account of basic examples and techniques in this area.§Suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already. §David Eisenbud is a well-known mathematician and current president of the American Mathematical Society, as well as a successful Springer author.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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Zařazení knihy Knihy v angličtině Mathematics & science Mathematics

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