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On computing Belyi maps

J. Sijsling, J. Voight (2014)

Publications mathématiques de Besançon

We survey methods to compute three-point branched covers of the projective line, also known as Belyĭ 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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