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arXiv · 1311.2529

On computing Belyi maps

Jeroen Sijsling·John Voight
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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.

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Jeroen Sijsling, John Voight. 2013-11-11. On computing Belyi maps. https://doi.org/10.5802/pmb.5

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