show · belyi.geometry_type all knowls · up · search:

A Belyi map corresponds to a finite index subgroup of a triangle group $\Delta(a,b,c)$. The geometry type of a Belyi map is spherical, Euclidean, or hyperbolic according to $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$ being $>1$, $=1$, or $<1$ respectively.

Authors:
Knowl status:
  • Review status: beta
  • Last edited by Michael Musty on 2018-07-18 18:30:30
Referred to by:
History: (expand/hide all)