An effective version of Belyĭ's theorem in positive characteristic

DOI10.1016/j.jnt.2021.04.028OpenAlexW3170199604WikidataQ113870357 ScholiaQ113870357MaRDI QIDQ2239155

Yasuhiro Wakabayashi

Publication date: 3 November 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.04224

zbMATH Keywords

coveringpositive characteristicalgebraic curveBelyi map

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Dessins d'enfants theory (14H57)

Cites Work

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• Properties of the degree of Belyi functions. (Proprieétés du degré des morphismes de Belyi.)
• An effective version of Belyi's theorem.
• Separated Belyi maps
• On the 1-pointed curves arising as étale covers of the affine line in positive characteristic
• Hurwitz schemes and irreducibility of moduli of algebraic curves
• Another proof of the three points theorem
• Belyi’s theorem in characteristic two

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