# Math 203A Fall 2023

### Professor

Elham Izadi ; AP&M 6240 ; phone: 858-534-2638 ;
email: eizadi@ucsd.edu ; Office hours in room 7218: Tuesdays and Thursdays 14:00-15:00

Lectures: Tuesday, Thursday 11:00-12:20 in APM 5402
### 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.

### Class Notes

09/28/2023
10/03/2023
10/05/2023
10/10/2023
10/12/2023
10/17/2023
10/19/2023
10/24/2023
10/26/2023
10/31/2023
11/02/2023
11/07/2023
11/09/2023
11/14/2023
11/16/2023
11/21/2023
11/28/2023
11/30/2023
12/05/2023
12/07/2023
### 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. Late homework will not
be accepted. Homework will normally be due one week after it is
assigned, usually on a Friday. 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. You will have five days, until the Tuesday office
hour, to read and comment on the homework that is assigned to you as
reviewer. At the Tuesday office hour, we will go over some of the
solutions to the homework.

### Homework assigments

Homework 1: Due Friday October 6

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

Homework 2: Due Friday October 13

Chapter 1, Section 1 #7,8,9,10 ; Chapter 1, Section 2 #1

Homework 3: Due Friday October 20

Chapter 1, Section 2 #2,6,7,8,10 (optional: #9)

Homework 4: Due Sunday October 29

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

Homework 5: Due Friday November 3

Chapter 2, Section 1 #6,7,8,17,22

Homework 6: Due Monday November 13

Chapter 2, Section 1 #9

Chapter 2, Section 2 #1,2,3,5 (optional: Chapter I Section 3 #6)

Homework 7: Due Friday November 17

Chapter 2, Section 2 #6,7,8,9,12

Homework 8: Due Friday December 01

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

Homework 9: Due Friday December 08

Chapter 2, Section 3, #6,7,8,9,10

Homework 10 (this is also the final exam): Due Sunday December 17

Chapter 2, Section 4, #1,2,3,4,6 (optional: #11 if you want to try
something a little harder; Section 32.14 of the Stacks project, on
universally closed morphisms, might be helpful for this)

Elham Izadi
Last modified: Tue Dec 12 14:40:45 PST 2023