Math 203C, Spring 2021

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 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.
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

03/30/2021 04/01/2021 04/06/2021 04/08/2021 04/13/2021 04/15/2021 04/20/2021 04/22/2021 04/27/2021 04/29/2021 05/04/2021 05/06/2021 05/11/2021 05/13/2021 05/18/2021 05/20/2021 05/25/2021 05/27/2021 06/01/2021 06/03/2021

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

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

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

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

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

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

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

Homework 8: Due Tuesday May 25
Chapter 4 Section 1 #1, 2, 3, 4, 5, optional very interesting: Section 2 #6, 7

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

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

Elham Izadi
Last modified: Tue Apr 27 15:54:52 PDT 2021