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Curves with only triple ramification

Stefan Schröer — 2003

Annales de l'Institut Fourier

We show that the set of smooth curves of genus g 0 admitting a branched covering X 1 with only triple ramification points is of dimension at least max ( 2 g - 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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