We will continue our study of complex manifolds. Here's a preliminary list of topics:
* more examples of manifolds, families of complex manifolds
* sheaves and their cohomology
* differential forms and Dolbeault theory
* deformation theory of complex manifolds
Prerequisites:
the fundamentals about complex manifolds, e.g. from my course Complex Geometry I or the first chapters of Fritzsche-Grauert's, Huybrechts', or Voisin's book.
References:
- Fields: Several Complex Variables and Complex Manifolds I/II
- Fritzsche/Grauert: From holomorphic functions to complex manifolds
- Huybrechts: Complex Geometry
- Kodaira: Complex Manifolds and Deformations of Complex Structures
- Morrow-Kodaira: Complex Manifolds
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