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Complex Analysis II (Winter 2019)


Lecture 
Felix Knöppel

Friday 
12  16 
MA 376 
Tutorial 
Wednesday 
16  18 
News
 Exams are offered at July 23/24 from 1214 pm. The exams will take place in MA 874/875. For appointments please contact Beate Niessen.
Contents
(almost) complex structures, Riemann surfaces, complex vector bundles, PoincareHopf index theorem, holomorphic structures, classification of line bundles, RiemannRoch theorem
Exercise Sheets
 Exercise sheet 01, due October 30
 Exercise sheet 02, due November 08
 Exercise sheet 03, due November 15
 Exercise sheet 04, due November 22
 Exercise sheet 05, due November 29
 Exercise sheet 06, due December 06
 Exercise sheet 07, due December 13
 Exercise sheet 08, due December 20
 Exercise sheet 09, due January 10
 Exercise sheet 10, due January 17
 Exercise sheet 11, due January 24
 Exercise sheet 12, due January 31
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
 Oliver Knill, A short introduction to several complex variables, 1996
 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
