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 account...

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Bibliographic Details
Main Author: Eisenbud, David (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: New York, NY : Springer New York, 2005.
Series:Graduate Texts in Mathematics, 229
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Free Resolutions and Hilbert Functions
  • First Examples of Free Resolutions
  • Points in ?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.