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Vers un algorithme pour la réduction stable des revêtements p-cycliques de la droite projective sur un corps p-adique

Michel Matignon
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Abstract

In his Ph. D. thesis, C. Lehr offers an algorithm which gives the stable model for p-cyclic covers of the projective line over a p-adic field under the conditions that the branch locus whose cardinal is m+1 has the so called equidistant geometry and m<p. In this note we give an algorithm also in the equidistant geometry case but without condition on m. In particular we are able to study the reduction at 2 of hyperelliptic curves with equidistant branch locus.

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Michel Matignon. 2001-12-05. Vers un algorithme pour la réduction stable des revêtements p-cycliques de la droite projective sur un corps p-adique. https://arxiv.org/abs/math/0112042

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