Publications Mathématiques de Besançon
Algèbre et Théorie des Nombres
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David P. Roberts
Hurwitz–Belyi maps
(Applications d’Hurwitz–Belyi)
Publications mathématiques de Besançon (2018), p. 25-67
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Class. Math.: 11G32, 14H57
Mots clés: Hurwitz variety, Belyi map, ramification

Résumé

L’étude des modules de revêtements de la droite projective conduit à la théorie des variétés de Hurwitz comme revêtements des variétés de configurations. Certaines sections de dimension un des ces revêtements sont des applications de Belyi particulièrement intéressantes. Nous présentons des exemples de telles applications « d’Hurwitz–Belyi » qui illustrent une large variété de phénomènes théoriques et techniques de calculs.

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