# Math 203C Spring 2024

### Professor

Elham Izadi ; AP&M 6240 ; phone: 858-534-2638 ;
email: eizadi@ucsd.edu ; Office hours: Tuesdays 13:00-15:00

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.

Complex Geometry, by Daniel Huybrechts.

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

04/02/2024
04/04/2024
04/09/2024
04/11/2024
04/16/2024
04/18/2024
04/23/2024
04/25/2024
04/30/2024
05/02/2024
05/07/2024
05/09/2024
05/14/2024
05/16/2024
05/21/2024
05/23/2024
05/28/2024
05/30/2024
06/04/2024
06/06/2024
### 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 10

Chapter 2 Section 1: 16, 19, 20, Section 3: 13, 14

Homework 2: Due Wednesday April 17

Chapter 2 Section 3 #18, 20, 21, Optional: Section 6 #4, 12

Homework 3: Due Wednesday April 24

Chapter 2 Section 7 #10, Optional: Section 7 #11, 12, 14, Section 8 #6

Homework 4: Due Wednesday May 01

Chapter 3 Section 2 #2, Section 3 #1, 2, Optional: #8

Homework 5: Due Wednesday May 08

Chapter 3 Section 4 #1, 3, 5, 7, Optional: #11

Homework 6: Due Wednesday May 15

Chapter 3 Section 5 #1, 7, Optional: #2, 3, 4

Homework 7: Due Wednesday May 22

Chapter 1 Section 6 #1, 2, Optional: # 3, 7, Chapter 2 Section 6 #9

Homework 8: Due Wednesday May 29

Chapter 4 Section 1 #1, 2, 3, 4, 5, Optional: Section 2 #6, 7

Homework 9: Due Wednesday June 05

Chapter 4 Section 2 #2, Section 3 #1, 2, Optional: #3, 4

Homework 10: Due Wednesday June 12

Chapter 5 Section 1 #1, 4, 5, Optional #2, 3, 6

Elham Izadi
Last modified: Mon Apr 1 21:06:12 PDT 2024