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401-3309-66L  Riemann Surfaces (Part 2)

SemesterHerbstsemester 2016
DozierendeA. Buryak
Periodizitäteinmalige Veranstaltung

KurzbeschreibungThe program will be the following:

* Proof of the Serre duality;
* Riemann-Hurwitz formula;
* Functions and differential forms on a compact Riemann surface with prescribed principal parts;
* Weierstrass points on a compact Riemann surface;
* The Jacobian and the Picard group of a compact Riemann surface;
* Holomorphic vector bundles;
* Non-compact Riemann surfaces.
LiteraturO. Forster. Lectures on Riemann Surfaces.
Voraussetzungen / BesonderesThis is a continuation of 401-3308-16L Riemann Surfaces that was taught in the spring semester (FS 2016), see Link for the lecture notes. The students are also assumed to be familiar with what would generally be covered in one semester courses on general topology and on algebra.