Algebraic Geometry

Professor A.J. de Jong, Columbia university, Department of Mathematics.

I'd like to create a mailing list for people interested in this course so please email me if you are interested in attending the lectures (even if you aren't going to attend all the lectures, etc).

The plan of this semester course in algebraic geometry is to try to work through enough basic material about schemes of finite type over fields, so that we can prove Riemann-Roch and Rieman-Hurewitz and start proving some basic properties of linear systems on curves.

There is not going to be a book associated to the course. Of course Harthorne's book on algebraic geometry will contain most of what I will cover. All of the material will be in some form or other in the stacks project.

It is strongly encouraged to go to the lectures, which are on Monday and Wednesday 10:30-11:45 in Math 507.

Problem sets will be announced on this web page after Wednesday's lecture. They are due in lecture on the next Wednesday. Please write out all arguments completely.

The TA for the course is Yanhong Yang.

Grades are computed by a weighted average between the scores on problem sets and final. The weights are 2/3 and 1/3 respectively.

The final will be a written exam.

Here are the weekly problem sets. Please hit the refresh button on your browser to make sure you have to latest list. These exercises are partially meant for you to see if you know enough to be able to follow the material in the course. Hence it is suggested that you skip the ones you are familiar with, or give a very brief answer showing you understand the point. Moreover, most of the exercises are of a theoretical nature, hence you'll be able to look up that answer -- feel free to do this.

  1. From Exercises do Exercises 32.5, 32.6, and 34.7.