TCC Introduction to Schemes Schedule
Term 1
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The following is an outline of the course, which will be updated as
the course progresses.
This will change as the term progresses, and other references will probably be added. If you're only interested in the lectures on a particular topic, email me to confirm the date on which they will take place.
I will post the smart-board notes after each lecture.
Return to the main module webpage.
| Week |
Date |
Topics |
References |
Notes |
Homework |
| 1 |
15/10 |
Overview, sheaves |
Hartshorne II.1, Eisenbud-Harris I.1.3, Vakil Ch 2 |
Lecture 1 |
HW 1 |
| 2 |
29/10 |
Affine schemes |
Hartshorne II.2, Eisenbud-Harris I.1.1, Vakil Ch 3-5. |
Lecture 2 (thanks to Nina Morishige) |
HW 2 |
| 3 |
5/11 |
Schemes |
Hartshorne II.2, II.3, Eisenbud-Harris I.1.2, Vakil Ch 3-5 |
Lecture 3 |
HW 3 |
| 4 |
12/11 |
Properties of schemes |
Hartshorne II.3, Eisenbud-Harris II, Vakil Ch 3-5 |
Lecture 4 |
HW 4 |
| 5 |
19/11 |
More properties of schemes, Projective schemes
| Hartshorne II.2, II.4, Vakil Section 4.5, Ch 9, Ch 10 |
Lecture 5 |
HW 5 |
| 6 |
26/11 |
Interlude on Moduli |
Eisenbud-Harris I.1.4, VI, Vakil 16.7 |
Lecture 6 |
HW 6 |
| 7 |
3/12 |
Coherent sheaves |
Hartshorne II.5, Vakil Ch 13 |
Lecture 7 |
HW 7
(Q1 altered, but either version is fine to do) |
| 8 |
10/12 |
Divisors and Line bundles |
Hartshorne II.6, II.7, Vakil Ch 14
| Lecture 8 |
HW 8 |
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