On computing Belyi maps

By Jeroen Sijsling, John Voight. 2013

48 citations recorded by the source corpus.

We survey methods to compute three-point branched covers of the projective line, also known as Belyi maps. These methods include a direct approach, involving the solution of a system of polynomial equations, as well as complex analytic methods, modular forms methods, and p-adic methods. Along the way, we pose several questions and provide numerous examples.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a20205ed39454f33d87cf9ef53bf20e09729903b