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Zbl 1093.14038
Wewers, Stefan
Stable reduction of three point covers. (English)
[J] J. Théor. Nombres Bordx. 17, No. 1, 405-421 (2005). ISSN 1246-7405

This paper arose from a plenary lecture given at the XXIIIrd Journées Arithmétiques in Graz in 2003. It gives a survey of some recent results on three point covers of the projective line, which lead to the following result of the author, proved in [J. Am. Math. Soc. 16, No. 4, 991--1032 (2003; Zbl 1062.14038)]: Let $f: X \to \Bbb P^1$ be a three point cover with monodromy group $G$ and field of moduli $K$. Then any prime number $p$, which strictly divides $\#G$, is at most tamely ramified in $K/\Bbb Q$.
[Günter Lettl (Graz)]

MSC 2000:: *14H30 Coverings, fundamental group (curves)
11G20 Curves over finite and local fields
14H25 Arithmetic ground fields (curves)

Keywords: Belyi map; semistable reduction; modular curves

Citations: Zbl 1062.14038

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