Math 203C, Spring 2022

Professor

Elham Izadi ; AP&M 6240 ; phone: 858-534-2638 ; email: eizadi@ucsd.edu ; Office hours: Tuesdays and Thursdays 15:00-16:00
Lectures: Tueday, Thursday 11:00-12:20

Course description

This is the third quarter of the introductory sequence in Algebraic Geometry. We will cover some of Chapters 3, 4 and 5 of Hartshorne's book, as time permits.

Prerequisites

MATH 203B

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.
The Rising Sea, Foundation of Algebraic Geometry, by Ravi Vakil.
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.

Class Notes

03/29/2022 03/31/2022 04/05/2022 04/07/2022 04/12/2022 04/14/2022 04/19/2022 04/21/2022 04/26/2022 04/28/2022 05/03/2022 05/05/2022 05/10/2022 05/12/2022 05/17/2022 05/19/2022 05/24/2022 05/26/2022 05/31/2022 06/02/2022

Homework

There will be weekly homework assignments (posted below, but subject to change during the quarter). Please submit your homework online to Canvas as a pdf file by the due time and date. Homework will normally be due one week after it is assigned, usually on a Wednesday. On the due date of a homework assignment, Canvas will automatically assign two of you as reviewers for each homework. The reviewers will write comments for the homework that they read.

Homework assigments

Homework 1: Due Wednesday April 6
Chapter 2 Section 1: 16, 19, 20, Section 3: 13, 14

Homework 2: Due Wednesday April 13
Chapter 2 Section 3 #18, 20, 21, Optional: Section 6 #4, 12

Homework 3: Due Wednesday April 20
Chapter 2 Section 7 #10, Optional: Section 7 #11, 12, 14, Section 8 #6

Homework 4: Due Wednesday April 27
Chapter 3 Section 2 #2, Section 3 #1, 2, Optional: #8

Homework 5: Due Wednesday May 04
Chapter 3 Section 4 #1, 3, 5, 7, Optional: #11

Homework 6: Due Wednesday May 11
Chapter 3 Section 5 #1, 7, Optional: #2, 3, 4

Homework 7: Due Wednesday May 18
Chapter 1 Section 6 #1, 2, Optional: # 3, 7, Chapter 2 Section 6 #9

Homework 8: Due Wednesday May 25
Chapter 4 Section 1 #1, 2, 3, 4, 5, Optional: Section 2 #6, 7

Homework 9: Due Wednesday June 01
Chapter 4 Section 2 #2, Section 3 #1, 2, Optional: #3, 4

Homework 10: Due Wednesday June 07
Chapter 5 Section 1 #1, 4, 5, Optional #2, 3, 6

Elham Izadi
Last modified: Mon Apr 18 16:21:33 PDT 2022