Curves with only triple ramification

Details Curves with only triple ramification Curves with only triple ramification

2002-06-10

arxiv.org/abs/math/0206091v2

Ann. Inst. Fourier. 53 (2003), 2225-2241

Mathematics

Algebraic Geometry

12 pages, section on semistable reduction extended, otherwise minor changes, to appear in Ann. Inst. Fourier

Scientific paper

I show that the set of smooth curves of genus g admitting branched coverings
X->P^1 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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