The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of basic examples and techniques in this area.

Suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already.

David Eisenbud is a well-known mathematician and current president of the American Mathematical Society, as well as a successful Springer author.