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

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

2001-07-03

arxiv.org/abs/math/0107015v2

Mathematics

Algebraic Geometry

41 pages, Latex with 8 figures

Scientific paper

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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