Algebraic Curves
Algebraic geometry is the study of solutions of polynomial equations, and has close connections with other areas of mathematics.
In this course, I will give a basic introduction to algebraic varieties, focusing on using curves (the dimension one case) to illustrate the basic notions in algebraic geometry.
In this course, I will give a basic introduction to algebraic varieties, focusing on using curves (the dimension one case) to illustrate the basic notions in algebraic geometry.
讲师
日期
2024年09月23日 至 12月18日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周一 | 13:30 - 15:05 | A3-1a-204 | ZOOM 07 | 559 700 6085 | BIMSA |
| 周三 | 09:50 - 11:25 | A3-1a-204 | ZOOM 07 | 559 700 6085 | BIMSA |
修课要求
Basic knowledge of polynomials, rings and ideals.
课程大纲
(1) Affine and projective varieties
(2) Local properties of curves
(3) Morphisms of varieties
(4) Resolution of singularities
(5) Riemann-Roch theorem
(2) Local properties of curves
(3) Morphisms of varieties
(4) Resolution of singularities
(5) Riemann-Roch theorem
参考资料
[1] E. Arbarello, M. Cornalba, P. A. Griffiths, J. Harris, Geometry of algebraic curves, Vol. I, Grundlehren Math. Wiss., 267, Springer-Verlag, New York, 1985. xvi+386 pp.
[2] W. Fulton, Algebraic curves, An introduction to algebraic geometry, Notes written with the collaboration of Richard Weiss, Reprint of 1969 original, Adv. Book Classics, Addison-Wesley Publishing Company, Advanced Book Program, Redwood City, CA, 1989. xxii+226 pp.
[3] Phillip A. Griffiths, Introduction to algebraic curves, Translated from the Chinese by Kuniko Weltin, Transl. Math. Monogr., 76, American Mathematical Society, Providence, RI, 1989. x+221 pp.
[2] W. Fulton, Algebraic curves, An introduction to algebraic geometry, Notes written with the collaboration of Richard Weiss, Reprint of 1969 original, Adv. Book Classics, Addison-Wesley Publishing Company, Advanced Book Program, Redwood City, CA, 1989. xxii+226 pp.
[3] Phillip A. Griffiths, Introduction to algebraic curves, Translated from the Chinese by Kuniko Weltin, Transl. Math. Monogr., 76, American Mathematical Society, Providence, RI, 1989. x+221 pp.
视频公开
公开
笔记公开
不公开
语言
英文
讲师介绍
Dali Shen is an assistant professor at BIMSA currently. His research is focused on algebraic geometry and complex geometry. He obtained his PhD from Utrecht University. Before joining BIMSA, he held postdoc positions at IMPA and TIFR.