An effective version of Belyi's theorem in positive characteristic

Abstract

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.

16 pages

References in corpus (1)

• Polynomial bounds for Arakelov invariants of Belyi curves