MA 345: Complex Manifolds

Credits: 3:0

Prerequisite courses: MA 224: Complex Analysis, MA 235: Introduction to Differentiable Manifolds

Pre-requisites :

1. Ideal to have some knowledge of Riemannian geometry.

Basic definitions and examples, Line bundles and divisors, sheaves and Cech cohomology, de Rham’s theorem, Kahler condition and consequences, Hodge Theorem, L^2 methods in complex geometry, Kodaira embedding theorem.

Suggested books and references:

1. Huybrechts, Daniel, Complex geometry. An introduction., Springer-Verlag, Berlin, 2005.
2. Griffiths, Phillip; Harris, Joseph, Principles of algebraic geometry. Reprint of the 1978 original., Wiley Classics Library. John Wiley & Sons, Inc., New York, 1994.
3. Morrow, James; Kodaira, Kunihiko, Complex manifolds. Reprint of the 1971 edition with errata., AMS Chelsea Publishing, Providence, RI, 1994.

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