Belyi maps

E2270061 UNEXPLORED

Belyi maps are special holomorphic maps from compact Riemann surfaces to the Riemann sphere that are branched over at most three points, playing a central role in Grothendieck’s theory of dessins d’enfants and the study of algebraic curves over number fields.

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Belyi maps canonical 1

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Hurwitz numbers relatedTo Belyi maps