MATH 203A, Fall 2016

Professor

Elham Izadi ; AP&M 6240 ; phone: 534-2638 ; email: eizadi@math.ucsd.edu ; Office hours: Tuesdays 15:30-16:00 and Thursdays 15:30-17:00
Lectures: Tueday, Thursday 14:00-15:20 AP&M 5829

Course description

This is the first quarter of the introductory sequence in Algebraic Geometry. We will cover some of Chapters 1 and 2 of Hartshorne's book, as time permits. We will, in particular, define varieties and schemes and their basic properties.

Prerequisites

MATH 200 A-B-C

Text

Algebraic Geometry, By Robin Hartshorne

References

The litterature on Algebraic Geometry is staggering. Here are a few books but you can find many more with some basic google searches.

An invitation to algebraic geometry, by Karen Smith, Lauri Kahanpää, Pekka Kekäläinen, William Traves.
The red book of varieties and schemes, by David Mumford.
Principles of algebraic geometry, by Phillip Griffiths and Joseph Harris.
Complex algebraic surfaces, by Arnaud Beauville.
Algebraic geometry, a first course, by Joseph Harris.
Geometry of Schemes, by David Eisenbud and Joseph Harris.
Algebraic Geometry, An Introduction, by Daniel Perrin.
Algebraic geometry, by Igor Shafarevich.
Introduction to Algebraic Geometry, by Brendan Hassett.
Introduction to commutative algebra, by Michael Atiyah and Ian McDonald.
Commutative algebra, By H. Matsumura.
Commutative Algebra with a view toward algebraic geometry, by David Eisenbud.

Homework

There will be weekly homework assignments (posted below) which I will collect and check for correctness.

Homework assigments

Homework 1: Due Thursday September 29
Chapter 1, Section 1 #1,2,4,5,6

Homework 2: Due Thursday October 6
Chapter 1, Section 1 #7,8,9,10 ; Chapter 1, Section 2 #1

Homework 3: Due Thursday October 13
Chapter 1, Section 2 #2,6,7,8,10 (also do #9 but do not turn it in)

Homework 4: Due Thursday October 20
Chapter 2, Section 1 #1,2,3,4,5

Homework 5: Due Thursday October 27
Chapter 2, Section 1 #6,7,8,17,22

Homework 6: Due Thursday November 3
Chapter 2, Section 1 #9
Chapter 2, Section 2 #1,2,3,5

Homework 7: Due Thurday November 10
Chapter 2, Section 2 #6,7,8,9,12

Homework 8: Due Thursday November 17
Chapter 2, Section 3 #1,2,3,4,5

Homework 9: Due Thursday December 1
Chapter 2, Section 3, #6,7,8,9,10

Homework 10: Due Thursday December 8
Chapter 2, Section 4, #1,2,3,4,6 and 11 if you want to try something a little harder

Elham Izadi
Last modified: Thu Jan 12 09:45:15 PST 2017