English

Real Belyi theory

Algebraic Geometry 2007-05-23 v1 Complex Variables Number Theory

Abstract

We develop a Belyi type theory that applies to Klein surfaces, i.e. (possibly non-orientable) surfaces with boundary which carry a dianalytic structure. In particular we extend Belyi's famous theorem from Riemann surfaces to Klein surfaces.

Keywords

Cite

@article{arxiv.math/0609844,
  title  = {Real Belyi theory},
  author = {Bernhard Köck and David Singerman},
  journal= {arXiv preprint arXiv:math/0609844},
  year   = {2007}
}

Comments

10 pages, 5 figures