MA4A5
Term 1

Course Description

Algebraic geometry studies the geometry of spaces defined by polynomial equations. This module will study affine and projective varieties, focusing on examples and the dictionary between algebra and geometry. See also the description in the PYDC booklet.

Lecturer

Name Office E-mail Phone Office Hour
Diane Maclagan B1.35 Zeeman Building D.Maclagan at warwick.ac.uk (024) 7652 8333 TBA

Course Times and Location



What Where When
Lecture MS.03 Monday 11:00-12:00
Lecture B3.02 Wednesday 9:00-11:00

Recommended Texts

We will fairly closely follow Introduction to Algebraic Geometry by Brendan Hassett. Also highly recommended is Ideals, Varieties, and algorithms, by David Cox, John Little, and Donal O'Shea.

Other references you may want to consult include Undergraduate Algebraic Geometry by Miles Reid, Algebraic Geometry by Joe Harris, and the lecture notes of Andreas Gathmann (this contains many topics we will not get to). Other more advanced references include the classic by Hartshorne, and Shafarevich. If you want to buy copies of any of these books, I recommend first looking at a site like Alibris.co.uk, which searches multiple independent bookstores.

Announcements

The first lecture (Wednesday, 6th October, 2010) will take place in H5.45. All other lectures will be in the Maths building.

Assessment

There will be homework assignments every two weeks. Homework assignments and due dates will be posted on the schedule webpage, which will also have the reading for the following week. You are encouraged to work on homework together, but you should write up the solutions yourself. No late homework will be accepted. The lowest homework score will be dropped, however, when calculating your homework mark. Homework will be due at 12pm on the Fridays indicated on the schedule page.

Your final mark for this module will depend 30% on your homework, and 70% on the examination in Term 3.