MATH 214A : Algebraic Geometry



 

Instructor: Burt Totaro.
E-mail: totaro@math.ucla.edu.

  • Lecture: MWF 2-2:50, MS 7608.

  • Office hour: Monday, 3:00, MS 6136.

  • Textbook: Hartshorne's Algebraic Geometry (Springer) is the main book for the class. The UCLA Store should be selling it in their textbook department on floor A. Roughly, I will cover Chapter I and sections 1-5 of Chapter II. Other useful books include Kempf's Algebraic Varieties (Cambridge), a short book that gets surprisingly far, and Vakil's The Rising Sea, free on the web.

    Complex algebraic geometry (using differential geometry and complex analysis) is not the main focus of the class, but it is an important alternative point of view. Huybrechts's Complex Geometry (Springer) is a good introduction to that point of view.

  • Prerequisite: Math 215A Commutative Algebra or permission of instructor. If you have not taken Math 215A, please read Atiyah-Macdonald's Introduction to Commutative Algebra (a short classic) in advance, and do some of the exercises.  

  • Grading: Based on three homework sets.

  • Course web page: http://www.math.ucla.edu/~totaro/214a.1.20w/index.html

  • Homework 1 (due January 22, 2020).

  • Homework 2 (due February 19, 2020).

  • Homework 3 (due March 9, 2020).