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arxiv: math/0206091 · v2 · submitted 2002-06-10 · 🧮 math.AG

Curves with only triple ramification

classification 🧮 math.AG
keywords curvesonlyramificationtripleadmittinganalogappliesbelyi
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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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