18.726: Algebraic Geometry

This is the home page for the course 18.726 (Algebraic Geometry), taught at MIT during the spring 2009 semester.

The class is the second in a two-semester graduate-level sequence in algebraic geometry beginning with 18.725. This sequence is intended for students planning research either in algebraic geometry or in a neighboring area in which algebraic geometry plays a major role (algebraic topology, representation theory, arithmetic geometry, etc.). While 18.725 presents a range of topics couched in the language of "classical" algebraic geometry (i.e., algebraic varieties over an algebraically closed field, or even specifically over the complex numbers), 18.726 introduces the language of "modern" algebraic geometry, including sheaves, schemes, morphisms, and cohomology.

Fast facts:

Also available:

Other links of possible interest: