Curves with only triple ramification

2002/06/30 by Stefan Schroeer
Mathematics · #math.AG #msc:14H10 #msc:14H25 #msc:14H51

paper · pdf

published as Ann. Inst. Fourier. 53 (2003), 2225-2241 · 12 pages, section on semistable reduction extended, otherwise minor changes, to appear in Ann. Inst. Fourier

arxiv created 2003/07/08 · arxiv updated 2009/11/30

Abstract

I show that the set of smooth curves of genus g admitting branched coverings X->P¹ with only triple ramification points has dimension at least max(2g-3,g). In characteristic two, such curves have tame rational functions and an analog of Belyi's Theorem applies to them.

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