Riemann Surfaces

General domains of analytic functions of one complex variable. Surfaces are locally described by holomorphic functions.

For example, a model of a concrete Riemann surface may be given as a triangular or rectangular mesh of a branched covering of a planar domain.


  1. L.V. Ahlfors, L. Sario: Riemann Surfaces, Princeton University Press (1960).
  2. Otto Forster: Riemannsche Flächen, Springer (1997).
  3. Hermann Weyl: Die Idee der Riemannschen Fläche, Teubner (1955).

Technical Note

As a guide, meshes should have no holes, no degenerate triangles and elements, no duplicate vertices. Surfaces should have meshes with an adjacency relation.