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 ac...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
New York :
Springer,
©2005.
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| Series: | Graduate texts in mathematics ;
229. |
| Subjects: |
Table of Contents:
- Preface : algebra and geometry
- 1. Free resolutions and Hilbert functions
- 2. First examples of free resolutions
- 3. Points in P[superscript 2]
- 4. Castelnuovo-Mumford regularity
- 5. The regularity of projective curves
- 6. Linear series and 1-generic matrices
- 7. Linear complexes and the linear syzygy theorem
- 8. Curves of high degree
- 9. Clifford index and canonical embedding
- App. 1. Introduction to local cohomology
- App. 2. A jog through commutative algebra.