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.
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)