Reduction and lifting of special metacyclic covers

Stefan Wewers

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

Stable reduction of three point covers

Stefan Wewers (2005)

Journal de Théorie des Nombres de Bordeaux

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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.

Algebraic covers : field of moduli versus field of definition

Pierre Dèbes, Jean-Claude Douai (1997)

Annales scientifiques de l'École Normale Supérieure

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On the Hurwitz scheme and its monodromy

David Eisenbud, Noam Elkies, Joe Harris, Robert Speiser (1991)

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Serre–Tate theory for moduli spaces of PEL type

Ben Moonen (2004)

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Tamely ramified Hida theory

Assaf Goldberger, Ehud de Shalit (2002)

Annales de l’institut Fourier

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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.