Math 559 Schedule
Spring 2007
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The following is a rough outline of the course. This should be
updated as the course progresses. Sections of the book are very rough
guides - we may jump around more, and will sometimes dip into the
previous and next weeks readings.
| Week |
(date of Monday) |
Topics |
Sections |
Homework |
Event |
| 1 |
1/15 |
Introduction, Gröbner bases |
Cox, Little, O'Shea, Chapter 2, and E Ch 15. |
|
No class Monday |
| 2 |
1/22 |
Gröbner bases, Hom, tensor product |
E Ch 2. |
HW 1 (due 2/5) |
|
| 3 |
1/29 |
Tensor product, localization |
E Ch 2. |
|
|
| 4 |
2/5 |
End of localization, Primary decomposition |
E Ch 2 (to 2.10), Ch 3 |
HW 2 (Q7 fixed) (due 2/19) |
|
| 5 |
2/12 |
Primary decomposition |
E Ch 3 |
|
|
| 6 |
2/19 |
Primary decomposition, |
E Ch 3, |
HW 3 (due 3/5) |
|
| 7 |
2/26 |
Integral Closure |
E Ch 4 |
|
|
| 8 |
3/5 |
Integral Closure, Associated Graded and blow-up algebras, Flatness |
E Ch 4, Ch 5, Ch 6 |
HW 4 (due 3/26) |
|
| 9 |
3/12 |
|
|
|
Spring Break - no classes |
| 10 |
3/19 |
|
|
|
No classes |
| 11 |
3/26 |
Flatness |
E Ch 6 |
HW 5 (due 4/11) Useful M2 code |
|
| 12 |
4/2 |
Completion |
E Ch 7 |
|
Make-up class W 3:20 |
| 13 |
4/9 |
Dimension |
E Ch 8, 9 (plus end of Ch 2) |
HW 6 (due 4/25) |
|
| 14 |
4/16 |
More dimension |
E Ch 10 |
|
|
| 15 |
4/23 |
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|
|
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| 16 |
4/30 |
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Classes end Monday |
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