MATH 203A, Fall 2020
Professor
Elham Izadi ; AP&M 6240 ; phone: 858-534-2638 ;
email: eizadi@ucsd.edu ; Office hours: Mondays 14:00-15:00 ; Homework
discussion sessions: Thursdays 13:30-15:00
Lectures: Tueday, 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
10/01/2020
10/06/2020
10/08/2020
10/13/2020
10/15/2020
10/20/2020
10/22/2020
10/27/2020
10/29/2020
11/03/2020
11/05/2020
11/10/2020
11/12/2020
11/17/2020
11/19/2020
11/24/2020
12/01/2020
12/03/2020
12/08/2020
12/10/2020
12/07/2020 Homework hints
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 homework
discussion session, to read and comment on the homework that is
assigned to you as reviewer. At the Thursday homework discussion
session, we will go over some of the solutions to the homework.
Homework assigments
Homework 1: Due Tuesday October 13
Chapter 1, Section 1 #1,2,4,5,6
Homework 2: Due Tuesday October 20
Chapter 1, Section 1 #7,8,9,10 ; Chapter 1, Section 2 #1
Homework 3: Due Tuesday October 27
Chapter 1, Section 2 #2,6,7,8,10 (also do #9 but do not turn it in)
Homework 4: Due Tuesday November 3
Chapter 2, Section 1 #1,2,3,4,5
Homework 5: Due Tuesday November 10
Chapter 2, Section 1 #6,7,8,17,22
Homework 6: Due Tuesday November 17
Chapter 2, Section 1 #9
Chapter 2, Section 2 #1,2,3,5
Homework 7: Due Tuesday November 24
Chapter 2, Section 2 #6,7,8,9,12
Homework 8: Due Tuesday December 1
Chapter 2, Section 3 #1,2,3,4,5
Homework 9: Due Tuesday December 8
Chapter 2, Section 3, #6,7,8,9,10
Homework 10 (this is also the final exam): Due Tuesday December 15
Chapter 2, Section 4, #1,2,3,4,6 and 11 if you want to try
something a little harder
Elham Izadi
Last modified: Mon Dec 7 15:11:17 PST 2020