MWF 2, Deady 206
Tuesday 12-1, or by appointment
207 Deady, phone 3465635, e-mail apolish@uoregon.edu
During winter term we were using online notes by Andreas Gathmann, available
here.
This term until further notice we will use "Algebraic geometry" by Hartshorne.
Abstract algebra course such as Math 647-649. A course in commutative algebra would be helpful too. Otherwise, you will have to learn the necessary tools from commutative algebra in addition to the material from algebraic geometry - I could provide some guidance. My favorite books in commutative algebra are: 1) Atiyah, Macdonald; 2) Matsumura.
There will be no exams in this course, so the grade will be based solely on your homework scores. Homework should be turned in on the day when it's due either in class or at my office (you can slip it under the door). Homework must be stapled. You are encouraged to collaborate on homeworks, however, writing up the solutions should be an individual work.
Assignment #1 (due April 16): Hartshorne, ch. II, Exercises 2.1, 2.3, 2.4, 2.9, 2.10, 2.13abc, 3.6, 3.8 (for the last assertion you will need Thm. 3.9A from ch.I).
Assignment #2 (due April 27): Hartshorne, ch. II, Exercises 3.5, 3.7, 3.11cd, 3.17bcde, 3.18abc, 4.2, 4.4, 4.8, 4.9.
Assignment #3 (due May 14): Hartshorne, ch. II, Exercises 5.1, 5.6abc, 5.7, 5.16ab, 6.1, 6.4, 6.5ab.
Assignment #4 (due June 8): Hartshorne, ch. II, Exercises 7.1, 7.2, 7.3; ch. III, Exercises 3.7, 4.3, 4.7.
Assignment #1 (due January 18): Exercises 1.4.1(ii), 1.4.4, 1.4.5(ii),(iii), 1.4.6. Also, the following two exercises:
Assignment #2 (due February 3): Exercises 2.6.1, 2.6.2, 2.6.3, 2.6.4(iv), 2.6.5, 2.6.6.
Assignment #3 (due February 17): Exercises 2.6.9, 2.6.10, 3.5.1, 3.5.2, 3.5.3, 3.5.4.
Assignment #4 (due March 9): Exercises 3.5.7, 4.6.1, 4.6.2, 4.6.3, 4.6.7, 4.6.8.