MA 4A5 Schedule
Term 2
|
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.
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 |
11/1 |
Introduction
Grobner bases |
Hassett Ch 2, CLO Ch 2 |
HW 1
Solutions |
|
| 2 |
18/1 |
Affine varieties |
Hassett Ch 3 |
|
|
| 3 |
25/1 |
Examples |
|
|
HW due Friday |
| 4 |
1/2 |
Elimination theory |
Hasset Ch 4,5. CLO Ch 3 |
HW 2
Solutions |
|
| 5 |
8/2 |
Nullstellensatz |
CLO Ch 4 |
|
HW due Friday |
| 6 |
15/2 |
Irreducible components |
Hassett Ch 6, 8, CLO Ch 4 |
HW 3
Solutions |
|
| 7 |
22/2 |
Projective varieties |
Hassett Ch 9 |
|
HW due Friday |
| 8 |
1/3 |
Hilbert polynomials and dimension |
Hassett Ch 12, CLO Ch 9 |
HW 4
Solutions |
|
| 9 |
8/3 |
Grassmannians |
Hassett Ch 11 |
HW 5
Solutions |
HW due Friday |
| 10 |
15/3 |
Bezout's theorem |
Hassett Ch 12 |
|
HW due Friday |
|
|
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