The spring semester 2021 will generally take place online. New presence elements as of April 26 will be communicated by the lecturers.

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

SemesterAutumn Semester 2016
LecturersA. Buryak
Periodicitynon-recurring course
Language of instructionEnglish

Catalogue data

AbstractThe 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.
LiteratureO. Forster. Lectures on Riemann Surfaces.
Prerequisites / NoticeThis 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.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits4 credits
ExaminersA. Buryak
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is only offered in the session after the course unit. Repetition only possible after re-enrolling.
Mode of examinationoral 20 minutes
Additional information on mode of examinationThe exam takes place in the Winter 2017 examination session. Be aware that no exam repetition is offered.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

Main linkLectures 1-11
Additional linksLectures 12-16
Only public learning materials are listed.


401-3309-66 VRiemann Surfaces (Part 2)
The classes that would take place on October 18, October 25 and November 15 have to be postponed:
Mon, Oct 31, Nov 7, Nov 21, Nov 28, Dec 5, Dec 12, 2016, 12-13
2 hrs
Mon/212-13HG G 26.5 »
Tue13-15HG D 7.1 »
31.10.12-13HG G 26.5 »
A. Buryak


No information on groups available.


There are no additional restrictions for the registration.

Offered in

Mathematics BachelorSelection: GeometryWInformation
Mathematics MasterSelection: GeometryWInformation