Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 764: Introduction to Algebraic Geometry II

Not offered in 2017/2018

 

Dima Arinkin: Spring 2016

This course is the continuation of Math 763. The goal is to put to extend the framework of algebraic geometry from varieties (studied in Math 763) to schemes. This requires using the language of sheaves (and, particularly, sheaves of rings) on topological spaces.

In the beginning of the course, we will go over basic properties of sheaves. We will then define schemes and morphisms of schemes, and study various classes of morphisms. Time permitting, I hope to discuss (quasi)coherent sheaves on schemes.

Standard references on this subject include:

  • Hartshorne, Algebraic Geometry
  • Shafarevich, Basic Algebraic Geometry
  • Ravi Vakil’s notes, The Rising Sea
credits: 
3 (N-A)
semester: 
Irregular
prereqs: 
Math 763

UW-Madison Department of Mathematics
Van Vleck Hall
480 Lincoln Drive
Madison, Wi  53706

(608) 263-3054

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