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Complex Analysis II (Winter 2019)


Lecture 
Felix Knöppel

Friday 
12  16 
MA 376 
Tutorial 
Wednesday 
16  18 
News
 Corrected first exercise of exercise sheet 3
 The tutorial time won't be changed  we stick with Wednesday 1618
 Updated exercise sheet 2
 The tutorial starts on Wednesday October 23, the lecture on October 18
Contents
(almost) complex structures, Riemann surfaces, complex vector bundles, PoincareHopf index theorem, holomorphic structures, classification of line bundles, RiemannRoch theorem
Exercise Sheets
Homework policy
 To get a certificate for the tutorial you need to obtain an average grade of 50% on the homework assignments.
Literature
There are lecture notes:
Here are some other lecture notes and recommendations:
 Franz Pedit, Cseminar,
Lecture Notes
 A short introduction to several complex variables
 S. Donaldson, Riemann Surfaces, Oxford graduate texts in Mathematics 22, 2011. Here is an older version as pdf
 Alexander I. Bobenko, Lecture Notes
 For the first part of the course. Here are lecture notes from Differential geometry II. Ulrich. Pinkall, Analysis and geometry on manifolds
 Werner Ballmann, Lectures on Kähler manifolds, ESI Lectures in Mathematics and Physics, European Mathematical Society, 2006
