Topics and references
- First properties of sheaves on surfaces; Note
Lecture Hours
- Tuesday: 12:15-1:15;
- Thursday: 12:15-1:15;
- Friday: 10:00-11:00.
Course Topics
- Elementary properties of sheaves on surfaces
- Geometric Invariant Theory and Moduli of stable sheaves
- Obstruction theory and the obstruction to deformation of sheaves
- Global properties of moduli of stable sheaves
For the first topic, I will follow Chapter 2 of the book of Friedman, supplemented by notes.
References
- R. Friedman, Algebraic Surfaces and Holomorphic Vector Bundles
- D. Huybrechet and M. Lehn, The Geometry of Moduli Spaces of Sheaves
- C. Okonek, M. Schneider and H. Spindler, Vector bundles on complex projective spaces
- P. Griffith and J. Harris, Principles of Algebraic Geometry
All books are on reserve in the library.
Course Logistic
I will lecture from 12:30 to 1:45 every Tuesday and Thusday in room 383N, beginning Tuesday April 5th in the second week of the quarter.
How to contact me
My office is room 383Y in building 380 of the Main-Quad; you can reach me either by email jli at math.stanford.edu, by phone 723-4508, or stop by my office during my office hours or by appointment.
- Office Hours: Wednesday and Friday: 10:30-11:00.
Course Works
Besides attending lectures and study the subject before and after each lecture, each students are encouraged to work on biweekly problem set.
Course Grades
The course grade will be assigned based on active participation in this course, which includes attending lectures and working on problem sets.