Mat 622/623 Home Page
- Math 622/623: Complex Algebraic Geometry I/II.
- Instructor: Tony Pantev
- Lectures: DRL 3C4, Monday-Friday 1:30pm-3pm
Texts: We will mainly follow
Also, the following books
will be very useful for different topics discussed in the syllabus:
- Complex geometry. An introduction, D. Huybrechts,
Springer-Verlag, Universitytext, 2005.
- Algebraic Geometry over the Complex Numbers,
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.
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