Dessins d'enfants for analysts

Abstract : We present an algorithmic way of exactly computing Belyi functions for hypermaps and triangulations in genus $0$ or $1$, and the associated dessins, based on a numerical iterative approach initialized from a circle packing combined with subsequent lattice reduction. The main advantage compared to previous methods is that it is applicable to much larger graphs; we use very little algebraic geometry, and aim for this paper to be as self-contained as possible.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-01136670
Contributor : Vincent Beffara <>
Submitted on : Monday, March 30, 2015 - 4:49:20 PM
Last modification on : Thursday, January 11, 2018 - 6:12:31 AM

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  • HAL Id : ensl-01136670, version 1

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Vincent Beffara. Dessins d'enfants for analysts. 2015. ⟨ensl-01136670⟩

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