The Geometry Of Syzygies: A Second Course In Algebraic Geometry And Commutative Algebra (Graduate Texts In Mathematics) /
Eisenbud, David.
The Geometry Of Syzygies: A Second Course In Algebraic Geometry And Commutative Algebra (Graduate Texts In Mathematics) / by David Eisenbud. - Berkeley: Springer, 2005. - xvi, 246 p. : ill. ; 23 cm.
Preface: Algebra and Geometry
Appendix 1: Introduction to Local Cohomology
Appendix 2: A Jog Through Commutative Algebra
References
Index 1. Free Resolutions and Hilbert Functions
2. First Examples of Free Resolutions
3. Points in P2
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
This book is the first textbook-level account of syzygies as they are used in algebraic geometry. It includes geometric examples ranging from interpolation to canonical curves. The text has served as the basis for graduate courses 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. As aids to the reader, one appendix gives an introduction to local cohomology and another provides a summary of commutative algebra, tying together examples and major results from a wide range of topics."--Jacket
9780387222325 0387222324
Geometry, Algebraic
Syzygies (Mathematics)
Commutative algebra
Algebra
516.35 / EIS
The Geometry Of Syzygies: A Second Course In Algebraic Geometry And Commutative Algebra (Graduate Texts In Mathematics) / by David Eisenbud. - Berkeley: Springer, 2005. - xvi, 246 p. : ill. ; 23 cm.
Preface: Algebra and Geometry
Appendix 1: Introduction to Local Cohomology
Appendix 2: A Jog Through Commutative Algebra
References
Index 1. Free Resolutions and Hilbert Functions
2. First Examples of Free Resolutions
3. Points in P2
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
This book is the first textbook-level account of syzygies as they are used in algebraic geometry. It includes geometric examples ranging from interpolation to canonical curves. The text has served as the basis for graduate courses 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. As aids to the reader, one appendix gives an introduction to local cohomology and another provides a summary of commutative algebra, tying together examples and major results from a wide range of topics."--Jacket
9780387222325 0387222324
Geometry, Algebraic
Syzygies (Mathematics)
Commutative algebra
Algebra
516.35 / EIS