An effective version of Belyi's theorem in positive characteristic

Yasuhiro Wakabayashi

Published 2020-04-08Version 1

The purpose of the present paper is to give an effective version of the noncritical $p$-tame Belyi theorem. That is to say, we compute explicitly an upper bound of the minimal degree of tamely ramified Belyi maps in positive characteristic which are unramified at a prescribed finite set of points.