Computing Euclidean Belyi maps
Journal de théorie des nombres de Bordeaux, Tome 35 (2023) no. 2, pp. 543-565.

Nous exposons un algorithme explicite pour calculer les revêtements ramifiés en trois points de la droite projective complexe lorsque le groupe de triangles uniformisant est euclidien.

We exhibit an explicit algorithm to compute three-point branched covers of the complex projective line when the uniformizing triangle group is Euclidean.

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DOI : 10.5802/jtnb.1256
Classification : 11G32, 11Y40
Mots clés : Belyi maps, elliptic curves
Matthew Radosevich 1 ; John Voight 1

1 Department of Mathematics Dartmouth College 6188 Kemeny Hall Hanover, NH 03755, USA
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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Matthew Radosevich; John Voight. Computing Euclidean Belyi maps. Journal de théorie des nombres de Bordeaux, Tome 35 (2023) no. 2, pp. 543-565. doi : 10.5802/jtnb.1256. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1256/

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