Mat 622/623 Home Page
 Math 622/623: Complex Algebraic Geometry I/II.
 Instructor: Tony Pantev
 Lectures: DRL 3C4, MondayFriday 1:30pm3pm
Course guide:

Texts: We will mainly follow
 Complex geometry. An introduction, D. Huybrechts,
SpringerVerlag, Universitytext, 2005.
 Algebraic Geometry over the Complex Numbers,
D. Arapura,
SpringerVerlag, Universitytext, 2012.
Also, the following books
will be very useful for different topics discussed in the syllabus:
 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.
 AbelJacobi theory.
 The GrothendieckRiemannRoch theorem.
IMPORTANT ANNOUNCEMENTS:


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.