The geometry of syzygies : a second course in commutative algebra and algebraic geometry
著者
書誌事項
The geometry of syzygies : a second course in commutative algebra and algebraic geometry
（Graduate texts in mathematics, 229）
Springer, c2005
- : hbk.
- : pbk.
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注記
pbk.: 24 cm
Bibliographical references: p. [227]-236
Includes index
内容説明・目次
内容説明
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.
目次
Preface: Algebra and Geometry * Free Resolutions and Hilbert Functions * First Examples of Free Resolutions * Points in P^2 * Castelnuovo-Mumford Regularity * The Regularity of Projective Curves * Linear Series and 1-Generic Matrices * Linear Complexes and the Linear Syzygy Theorem * Curves of High Degree * Clifford Index and Canonical Embedding * Appendix 1: Introduction to Local Cohomology * Appendix 2: A Jog Through Commutative Algebra * References * Index
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