The Geometry Of Syzygies: A Second Course In Algebraic Geometry And Commutative Algebra (Graduate Texts In Mathematics) / by David Eisenbud.

By:

Eisenbud, David

Material type: Text

TextLanguage: English Publication details: Berkeley: Springer, 2005.Description: xvi, 246 p. : ill. ; 23 cmISBN:

9780387222325
0387222324

Subject(s):

DDC classification:

23 516.35 EIS

Contents:

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

Summary: 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

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Status	Notes	Date due	Barcode
General Books	CUTN Central Library Sciences	Non-fiction	516.35 EIS (Browse shelf(Opens below))	Checked out to KARTHIKA R (R210201)	Karthika R, Research Scholar (CSIR Contingent Fund)	31/05/2026	45936

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

There are no comments on this title.

to post a comment.