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arXiv · 0912.2051

First vertices for generic Newton polygons, and $p$-cyclic coverings of the projective line

Régis Blache
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Abstract

In this paper we compute the first vertex of a generic Newton polygon in some special cases, and the corresponding Hasse polynomial. This allows us to show the nonexistence of $p$-cyclic coverings of the projective line in characteristic $p$ with supersingular jacobian for some (infinite families of) genera.

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Régis Blache. 2009-12-10. First vertices for generic Newton polygons, and $p$-cyclic coverings of the projective line. https://arxiv.org/abs/0912.2051

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