Andrei Cuzub: Properties of models of covers of algebraic curves, 251-263

Abstract:

In this paper, we prove a characterization of the stable model of a cover of marked curves. In the second half, we use a good reduction of tame covers to give a proof of Belyi's theorem.

Key Words: Algebraic curve, semi-stable model, marked curve, cover of curves, Belyi's theorem.

2010 Mathematics Subject Classification: Primary 14E20; Secondary 14H25, 11G20, 14G20.