|Dates||:||May 5th to early July|
|Instructor||:||Ajneet Dhillon, firstname.lastname@example.org|
|Prerequisite||:||Rings and Modules|
This course will be an introduction to some topics in classical algebraic geometry. We will start with elementary topics such as the algebraic subsets of affine and projective space, the Zariski topology, regular and rational maps. The notions of dimension and smoothness of an algebraic variety will be introduced. The last part of the course will focus on linear systems, maps to projective space, Bezout's theorem, blow ups and algebraic curves.
- Algebraic Geometry, an introduction : D. Perrin
- Lectures on curves, surfaces and projective varieties : M. Beltrametti, E. Carletti, D. Gallarati and G. Bragadin
- Basic algebraic geometry I : I. Shafarevich.
- Algebraic Geometry : R. Hartshorne (Chapter I only)
Note : that this course has a prerquisite of rings and modules math 9023/4123A. You are encouraged to review the course material as taught in the Fall of 2014, before the course starts, we will make heavy use of this course.
- 2 assignments 30% each
- One exam 40%
Here is assignment 1. (Due : June 2nd)
Here is assignment 2. (Due : June 23rd)