A geometric introduction to commutative algebra

Abstract

These notes correspond to the course of Commutative Algebra that I started teaching the academic year 2003/2004 at the Universidad Complutense de Madrid. Since I am still teaching the course for a third year, the notes (which were incomplete) are suffering continuous changes. I thank my students of each year for their patience and suggestions (I have to thank very particularly to Pepe Higes for many corrections). In the unlikely event that I will succeed in writing something sensible, my goal was to present a self-contained basic introduction to the main topics of commutative algebra, regarded from a geometric point of view.