Commutative Algebra Autumn 2018

Prof. Paul Nelson
Tue 15-17, HG D 1.1
Thu 13-15, HG D 1.1
Emilio Corso
Exercise classes
Mon 15-16, HG D 1.1
Mon 15-16, ML F 36

Starting dates
First lecture: Tue, September 18, 2018
First exercise classes: Mon, September 24, 2018

This course provides an introduction to commutative algebra as a foundation for and first steps towards algebraic geometry. We shall cover approximately the material from most of the textbook by Atiyah-MacDonald or the first half of the textbook by Bosch.

Topics include:

Prerequisites: Algebra I (or a similar introduction to the basic concepts of ring theory).

Objectives and assignments :

Here you find a constantly updated file containing objectives and assignments for the course: "Objectives and assignments"

The new exercise sheet will be posted here on Tuesdays. We expect you to look at the problems over the weekend and to prepare questions for the exercise class on Monday of the following week.

Please note that each exercise sheet contains 6-7 exercises. Written solutions will be provided the day after the deadline for handing them in.

Please hand in your solutions by the following Thursday at 13:00 (so that you have 9 days to solve the exercises) in room HG J68, in the box under the sign corresponding to the course. Please do not forget to write the name of your teaching assistant on each sheet that you hand in. Your solutions will usually be corrected and returned in the following exercise class or, if not collected, returned to the box in HG J68.

Exercise sheet Due by Solutions
Exercise sheet 1 September 27 Solution sheet 1
Exercise sheet 2 October 4 Solution sheet 2
Exercise sheet 3 October 11 Solution sheet 3
Exercise sheet 4 October 18 Solution sheet 4
Exercise sheet 5 October 25 Solution sheet 5
Exercise sheet 6 November 1 Solution sheet 6
Exercise sheet 7 November 8 Solution sheet 7
Exercise sheet 8 November 19 Solution sheet 8
Exercise sheet 9 November 22 Solution sheet 9
Exercise sheet 10 December 3 Solution sheet 10
Exercise sheet 11 December 10 Solution sheet 11
Exercise sheet 12 December 17 Solution sheet 12
Exercise sheet 13 December 21 Solution sheet 13

You can enrol in exercise classes using echo: here.

Mo 15-16HG G 19.1 (*)Riccardo Ferrarioen
Mo 15-16 HG D 1.1 Waltraud Lederleen

(*) Except for Monday 29/10/2018, where the exercise class will take place in ML F 36.

Primary Reference:
  1. "Commutative algebra. With a view towards algebraic geometry" by D. Eisenbud (GTM 150, Springer Verlag, 1995)
Secondary Reference:
  1. "Introduction to Commutative Algebra" by M. F. Atiyah and I. G. Macdonald (Addison-Wesley Publ., 1969)
Tertiary References:
  1. "Algebraic Geometry and Commutative Algebra" by S. Bosch (Springer 2013)
  2. "Commutative ring theory" by H. Matsumura (Cambridge University Press 1989)
  3. "Commutative Algebra" by N. Bourbaki (Hermann, Masson, Springer)