Göm menyn

Den efterfrågade sidan finns ej på det önskade språket.

Till nästa tillgängliga sida.


Den efterfrågade artikeln finns för dessa språk..

Page in English.

MAI0101
Complex Functions and Riemann Surfaces/
Komplexa funktioner och Riemann-ytor

Number of credits: 8 hp

Examiner: Lars Alexandersson

Course literature: Jones and Singerman: Complex functions. An algebraic and geometric viewpoint, Cambridge University Press, ISBN 0 521 31366 X.

Course contents:

  • The Riemann sphere and its meromorphic functions.
  • Periodic meromorphic functions in the complex plane, in particular elliptic functions (doubly periodic functions)
  • The torus and its meromorphic functions.
  • Analytic and meromorphic continuation, the monodromy theorem and the fundamental group.
  • The Riemann surfaces of log z, z1/n and p(z)1/2, where p(z) is a polynomial.
  • Abstract Riemann surfaces.
  • The Riemann surface of an algebraic function.

Organization: TBA

Examination: TBA

Prerequisites: TATA60 Complex Analysis or equivalent. TATA34 Analysis honors course or TATM85 Functional analysis is recommended.


Sidansvarig: karin.johansson@liu.se
Senast uppdaterad: 2015-02-09