On computing Belyi maps
arXiv:1311.2529 · doi:10.5802/pmb.5
Abstract
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.
57 pages, 3 figures, extensive bibliography; English and French abstract; revised according to referee's suggestions