Reduction and lifting of special metacyclic covers

Stefan Wewers

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Displaying similar documents to “Reduction and lifting of special metacyclic covers”

Stable reduction of three point covers

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This note gives a survey of some recent results on the stable reduction of covers of the projective line branched at three points.

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Let $J_{1}$ be the Jacobian of the modular curve associated with $Γ_{1} (N p), (p, N) = 1$ and $J_{0}$ the one associated with $Γ_{1} (N) \cap Γ_{0} (p)$ . We study $J_{1} [p - 1]$ as a Hecke and Galois-module. We relate a certain matrix of $p$ -adic periods to the infinitesimal deformation of the $U_{p}$ -operator.