We exhibit an explicit algorithm to compute three-point branched covers of the complex projective line when the uniformizing triangle group is Euclidean.
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.
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Keywords: Belyi maps, elliptic curves
Radosevich, Matthew 1 ; Voight, John 1
CC-BY-ND 4.0
@article{JTNB_2023__35_2_543_0,
author = {Radosevich, Matthew and Voight, John},
title = {Computing {Euclidean} {Belyi} maps},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {543--565},
year = {2023},
publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
volume = {35},
number = {2},
doi = {10.5802/jtnb.1256},
language = {en},
url = {https://www.numdam.org/articles/10.5802/jtnb.1256/}
}
TY - JOUR AU - Radosevich, Matthew AU - Voight, John TI - Computing Euclidean Belyi maps JO - Journal de théorie des nombres de Bordeaux PY - 2023 SP - 543 EP - 565 VL - 35 IS - 2 PB - Société Arithmétique de Bordeaux UR - https://www.numdam.org/articles/10.5802/jtnb.1256/ DO - 10.5802/jtnb.1256 LA - en ID - JTNB_2023__35_2_543_0 ER -
%0 Journal Article %A Radosevich, Matthew %A Voight, John %T Computing Euclidean Belyi maps %J Journal de théorie des nombres de Bordeaux %D 2023 %P 543-565 %V 35 %N 2 %I Société Arithmétique de Bordeaux %U https://www.numdam.org/articles/10.5802/jtnb.1256/ %R 10.5802/jtnb.1256 %G en %F JTNB_2023__35_2_543_0
Radosevich, Matthew; Voight, John. Computing Euclidean Belyi maps. Journal de théorie des nombres de Bordeaux, Tome 35 (2023) no. 2, pp. 543-565. doi: 10.5802/jtnb.1256
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