First vertices for generic Newton polygons, and $p$-cyclic coverings of the projective line - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2009

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

Résumé

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.

Dates et versions

hal-00551456 , version 1 (03-01-2011)

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Régis Blache. First vertices for generic Newton polygons, and $p$-cyclic coverings of the projective line. 2009. ⟨hal-00551456⟩

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UNIV-AG LAMIA
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