Texts: We will mainly follow
- Complex geometry. An introduction, D. Huybrechts, Springer-Verlag, Universitytext, 2005.
- Algebraic Geometry over the Complex Numbers, D. Arapura, Springer-Verlag, Universitytext, 2012.
- Principles of algebraic geometry, P. Griffiths, J. Harris, John Wiley & Sons, Inc., 1994.
- Hodge theory and complex algebraic geometry, volumes I and II, C. Voisin, Cambridge University Press, 2003.
This is a two semester complex algebraic geometry course at Penn. It
assumes familiarity with basic commutative algebra, differential
geometry, topology and complex analysis.
The topics for this course will be:
- Complex projective geometry.
- Hodge theory.
- Hermitian geometry and vector bundles
- Kähler manifolds and Kodaira's theorems.
- Abel-Jacobi theory.
- The Grothendieck-Riemann-Roch theorem.
Homeworks 7,8, and 9 are posted.
We will have special lectures on
- Wednesday, February 21, 5-6:30pm, in DRL 4C8.
- Friday, February 24, 8:30-10am, in DRL 4C2.
- Friday, February 24, 5-6:30pm, in DRL 4C8.
HOMEWORK and SUPPLEMENTS
You are welcome to talk with other students or faculty while working on the homework, but what you turn in must be your own writeup of your own work.