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A Belyi map corresponds to a finite index subgroup of a triangle group $\Delta(a,b,c)$. The geometry type of a Belyi map is spherical, Euclidean, or hyperbolic according to $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$ being $>1$, $=1$, or $<1$, respectively.

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• Review status: beta
• Last edited by Sam Schiavone on 2019-10-04 12:54:22
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