MATH 681
Commutative Algebra and Algebraic Geometry, Fall 2019

Lectures:

MWF 2, 210 Deady

Office hours:

Monday 11-12, Tuesday 2-3, or by appointment

My office:

207 Deady, phone 3465635, e-mail apolish@uoregon.edu

Textbooks:

We will use the following:

  • "Introduction to commutative algebra" by Atiyah and Macdonald
  • "Algebraic geometry" by Hartshorne

    • Pre-requisites:

    Math 647-649

    Homework

    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.

    Fall homework assignments:

    Abbreviations: "AM" is Atiyah-Macdonald, "H" is Hartshorne
    The problems marked as "WU" have to be written up and submitted for grading

    Assignment #1 (due October 11):

  • Exercises from AM: 10.1(WU), 10.2, 10.4(WU), 10.6(WU), 10.7, 10.9(WU), 10.10(WU).

    • Assignment #2 (due October 23):

  • Exercises from AM: 11.1(WU), 11.2 (WU), 11.4, 11.6(WU), 11.7(WU)

    • Assignment #3 (due October 30):

  • Exercises from H: 1.1, 1.2 (WU), 1.6, 1.7, 1.8, 1.10, 1.11* (WU); 2.1 (WU), 2.2, 2.3, 2.4, 2.5, 2.10, 2.6 (WU), 2.7, 2.9(a) (WU), 2.11.

    • Assignment #4 (due November 11):

  • Exercises from H: 2.13 (WU), 3.1, 3.3 (WU), 3.10, 3.11, 3.12, 3.14, 3.17 (WU), 3.19(a), 3.21, 4.1 (WU).

    • Assignment #5 (due November 20):

  • Exercises from H: 4.2, 4.3, 4.4, 4.6 (WU), 4.9 (WU), 5.1, 5.3(a) (WU), 5.4 (WU, (a) is a bit hard, you can skip it at first), 5.8 (WU), 5.9, 5.10, 5.12.

    • Assignment #6

  • Exercises from H: 5.15, 6.1, 6.2, 6.4, 6.5; Exercises from AM: 5.12, 5.13, 5.14, 5.28, 5.29.

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