以下是我2024年春季于UC Berkeley 上的MATH256B Algebraic Geometry的一些课程资料.
我不确定是否能将课程作业的答案公开, 如果这些文件侵犯了您的利益请联系我进行删除.
2024 Spring 的代数几何由Prof. Paul Vojta 讲授, 参考教材为Hartshorne 的巨著Algebraic Geometry. Prof. Vojta 大概讲授了 II 6 以及III 1-9 节的内容.
图片为Prof. Vojta 的代表作之一, Mordell 猜想的Diophantine Approximation 证明.
Handouts
| No. | Date | Title | Download |
|---|---|---|---|
| 1 | 2/14 | A lemma for the solution of Hartshorne (III, Ex. 4.4) | Hand out 1 |
| 2 | 2/26 | More Information on (III, Ex.~4.4) (revised) | Hand out 2 |
| 3 | 4/19 | Some Lemmas on curves, and the end of the proof of (II, 6.8) | Hand out 3 |
| 4 | 4/22 | Spectral sequences | Hand out 4 |
Homework Assignments
| No. | Due | Assignment | Solutions |
|---|---|---|---|
| 1 | 1/31 | Homework 1 | Solution 1 |
| 2 | 2/7 | Homework 2 | Solution 2 |
| 3 | 2/14 | Hartshorne III Ex. 2.3, 3.1, 3.2 Ex. 3.2 is (NC) | Solution 3 |
| 4 | 2/21 | Hartshorne III Ex. 4.1, 4.3, 4.5 Ex. 4.1 is (NC) | Solution 4 |
| 5 | 2/28 | Hartshorne III Ex. 4.7, 5.1 | Solution 5 |
| 6 | 3/6 | Homework 6 | Solution 6 |
| 7 | 3/13 | Homework 7 | Solution 7 |
| 8 | 3/20 | Homework 8 | Solution 8 |
| 9 | 4/3 | Homework 9 | Solution 9 |
| 10 | 4/10 | Homework 10 | Solution 10 |
| 11 | 4/17 | Homework 11 | Solution 11 |
| 12 | 4/24 | Homework 12 | Solution 12 |
| 13 | 5/1 | Homework 13 | Solution 13 |
| 14 | 5/9 | Homework 14 | Solution 14 |
