The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Paperback, 2005)

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