Curves with only triple ramification
Abstract
Description
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.
12 pages, section on semistable reduction extended, otherwise minor changes, to appear in Ann. Inst. Fourier
12 pages, section on semistable reduction extended, otherwise minor changes, to appear in Ann. Inst. Fourier