On computing Belyi maps
作者： John Voight , Jeroen Sijsling
DOI: 10.5802/PMB.5
关键词: Modular form 、 Direct method 、 Mathematics 、 System of polynomial equations 、 Algebra 、 Projective line
摘要: We survey methods to compute three-point branched covers of the projective line, also known as Belyi maps. These include a direct approach, involving solution system polynomial equations, well complex analytic methods, modular forms and p-adic methods. Along way, we pose several questions provide numerous examples.
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