MA 4A5 Schedule
Term 1
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The following is an outline of the course, which will be updated as
the course progresses. Guides to the topic we will cover in any given
week are only approximate, and these will probably change as the term
progresses.
CLO is the book by Cox, Little, O'Shea. Hassett is Hassett's Introduction to Algebraic Geometry.
Return to the main module webpage.
| Week |
(date of Monday) |
Topics |
Sections |
Homework |
Event |
| 1 |
29/9 |
Introduction
Grobner bases |
Hassett Ch 2, CLO Ch 2 |
HW 1 |
First class Friday
|
| 2 |
6/10 |
Grobner bases
Affine varieties |
Hassett Ch 3 |
|
|
| 3 |
13/10 |
Affine varieties |
Hassett Ch 3 |
HW 2 |
HW 1 due Thursday |
| 4 |
20/10 |
Elimination theory |
Hassett Ch 4,5. CLO Ch 3. |
|
Mini-project title due Friday |
| 5 |
27/10 |
Rational Maps |
Hassett Ch 3 |
HW 3 |
HW 2 due Thursday |
| 6 |
3/11 |
Rational maps, Projective varieties |
Hassett Ch 6, 8, CLO Ch 4 |
|
HW 3 due Thursday |
| 7 |
10/11 |
Projective varieties |
Hassett Ch 9 |
HW 4 |
|
| 8 |
17/11 |
Dimension and singularites |
Hassett Ch 12, CLO Ch 9 |
|
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| 9 |
25/11 |
Grassmannians |
Hassett Ch 11 |
HW 5 |
HW 4 due Tuesday |
| 10 |
1/12 |
Hilbert polynomials and Bézout's theorem |
Hassett Ch 12 |
HW 6 (not to be handed in) |
HW 5 due Thursday
Extra lecture Monday 10am |
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