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Espace de modules des courbes hyperelliptiques stables et une inégalité de Cornalba-Harris-Xiao

Sylvain Maugeais
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Abstract

In this paper, we show an inequality between the degrees of the conductor and the Hodge fiber of a hyperelliptic curve above a discrete valuation ring. For that we have to show theorems about the lifting of $p$-cyclic covers in order to obtain informations on the edge of the moduli space of hyperelliptic stable curves. The inequality then comes from the geometry of this last space.

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BibTeXRIS

Sylvain Maugeais. 2002-03-21. Espace de modules des courbes hyperelliptiques stables et une inégalité de Cornalba-Harris-Xiao. https://arxiv.org/abs/math/0107015

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