# Math 203A, Fall 2021

### Professor

Elham Izadi ; AP&M 6240 ; phone: 858-534-2638 ;
email: eizadi@ucsd.edu ; Office hours: Mondays 14:00-15:00, Thursdays 14:00-15:00

Lectures: Tuesday, Thursday 11:00-12:20
### 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

09/23/2021
09/28/2021
09/30/2021
10/05/2021
10/07/2021
10/12/2021
10/14/2021
10/19/2021
10/21/2021
10/26/2021
10/28/2021
11/02/2021
11/04/2021
11/09/2021
11/16/2021
11/18/2021
11/23/2021
11/30/2021
12/02/2021
### 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 Tuesday. 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 two days, until the Thursday office
hour, to read and comment on the homework that is assigned to you as
reviewer. At the Thursday office hour, we will go over some of the
solutions to the homework.

### Homework assigments

Homework 1: Due Tuesday October 5

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

Homework 2: Due Tuesday October 12

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

Homework 3: Due Tuesday October 19

Chapter 1, Section 2 #2,6,7,8,10 (also do #9 but do not turn it in)

Homework 4: Due Tuesday October 26

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

Homework 5: Due Tuesday November 2

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

Homework 6: Due Tuesday November 09

Chapter 2, Section 1 #9

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

Homework 7: Due Tuesday November 16

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

Homework 8: Due Tuesday November 23

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

Homework 9: Due Tuesday November 30

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

Homework 10 (this is also the final exam): Due Thursday December 9

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 Nov 25 21:41:44 PST 2021