The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics, 229)

This is a very very unknown but amazing book on algebraic geometry. The Grothendieck school of abstract is great, but only after one understands the classical picture and approaches first. In this book David used commutative algebra to illustrate how many algebraic geometry we can do knowing only something of the free resolution of the projective coordinate ring (over the polynomial ring). The whole book has a lot of information, and evolves around a development to explain Green's conjecture and Eisenbud-Goto conjecture. I recommend it highly to any student of algebraic geometry.

A truly excellent book! And at a very good price too

Great book. It is really worthy the money, especially if you want to better understand geometry from an algebraic perspectives. For pure geometers it might be a little bit too algebraic.