Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-40-26-K-6

Riemann Surfaces (2V, 3.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
2 V Lecture 3.0 CP 28 h 62 h
(2V) 3.0 CP 28 h 62 h

Basedata

SWS 2V
CP, Effort 3.0 CP = 90 h
Position of the semester 1 Sem. irreg.
Level [6] Master (General)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-AGCA] Algebra, Geometry and Computer Algebra
Additional informations
Livecycle-State [NORM] Active

Contents

  • Riemann surfaces and holomorphic images,
  • topological properties, fundamental groups, coverings,
  • sheaves, differential forms, integration,
  • cohomology and exact sequences,
  • Riemann-Roch theorem and Serre duality.

Literature

  • S. Donaldson: Riemann Surfaces,
  • R. Miranda: Algebraic Curves and Riemann Surfaces,
  • O. Forster: Lectures on Riemann Surfaces,
  • R.C. Gunning: Lectures on Riemann Surfaces.

Materials

Further literature will be announced in the lecture.

Requirements for attendance (informal)

Modules:

Courses

Requirements for attendance (formal)

None

References to Course [MAT-40-26-K-6]

Module Name Context
[MAT-40-26-M-6] Riemannian Surfaces P: Obligatory 2V, 3.0 LP
Course-Pool Name
[MAT-40-2V-KPOOL-4] Elective Courses Algebra, Geometry and Computeralgebra (2V, B.Sc.)
[MAT-70-2V-KPOOL-4] Elective Courses Analysis and Stochastics (2V, B.Sc.)