The bipartite graphs of abelian dessins d'enfants

Rubén A. Hidalgo

Abstract


Let S be a closed Riemann surface and let β: S →  ̂C be a regular branched holomorphic covering, with an abelian group as deck group, whose branch values are contained in the set {∞, 0, 1}. Three dessins d’enfants are provided by β − 1([0, 1]), β − 1([1, ∞]) and β − 1([0, ∞]). In this paper we provide a description of the bipartite graphs associated to these dessins d’enfants using simple arguments.


Keywords


Dessins d'enfants, Belyi curves, Algebraic curves, Riemann Surfaces

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DOI: https://doi.org/10.26493/1855-3974.328.0b7

ISSN: 1855-3974

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