110.758 Topics in Complex Geometry
Fall 2011

Tue Thu 10:30-11:45, Krieger 304

Instructor: Bernard Shiffman

Prerequisites: 605, 611, 615

· Recommended reading: Jean-Pierre Demailly, Complex Analytic and Differential Geometry

Additional References:

· Griffiths and Harris, Principles of Algebraic Geometry.

· Narasimhan, Introduction to the Theory of Analytic Spaces (available from a JHU IP address)

· Sheaves (from Gunning, Vol. III)

· Hatcher, Algebraic Topology

· Shiffman and Sommese, Vanishing Theorems on Complex Manifolds

· Elliptic regularity:

1. Hörmander, Linear Partial Differential Operators, 1963; Chapter VII, Theorem 7.4.1

2. Hörmander, Analysis of Linear Partial Differential Operators, I, 2nd edition, 1990, Chapter VIII, Cor. 8.3.2