WiSe 15/16 - Funktionentheorie II

Complex Analysis II - Complex Manifolds


Calabi-Yau

Dates

Monday, 14 - 16 h in WSC-S-U-3.03
Wednesday, 14 - 16 h in WSC-S-U-3.03

Exercise session

Friday, 12 - 14 h in WSC-S-U-3.03 (Dr. Tim Kirschner)

During the exercise session we will discuss and work on problems that are handed out during Monday lectures. More information is available on the course's moodle sites.

Preliminary list of topics:

  • elementary theory of holomorphic functions of several variables
  • analytic sets
  • Weierstraß preparation theorem
  • irreducible Components and singular points
  • complex manifolds
  • fibre bundles
  • line bundles, divisors, meromorphic functions
  • submanifolds of projective spaces, Theorem of Chow

Literature

  • Fritzsche, Grauert: From holomorphic functions to complex manifolds, Springer
  • Gunning: Introduction to Holomorphic Functions of Several Variables, Wadsworth & Brooks/Cole
  • Huybrechts: Complex Geometry, Springer
  • Taylor: Several Complex Variables, AMS
  • Range: Holomorphic Functions and Integral Representations in Several Complex Variables, Springer