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 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 (Section 32.14 of the Stacks project, on
universally closed morphisms, might be helpful for this)