On $p$-adic uniformization

Siegfried Bosch

Displaying similar documents to “On $p$ -adic uniformization”

Etale coverings of a Mumford curve

Marius Van Der Put (1983)

Annales de l'institut Fourier

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Let the field $K$ be complete w.r.t. a non-archimedean valuation. Let $X / K$ be a Mumford curve, i.e. the irreducible components of the stable reduction of $X$ have genus 0. The abelian etale coverings of $X$ are constructed using the analytic uniformization $Ω \to X$ and the theta-functions on $X$ . For a local field $K$ one rediscovers $G$ . Frey’s description of the maximal abelian unramified extension of the field of rational functions of $X$ .

The reduction of a double covering of a Mumford curve.

Van Steen, G. (1994)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Stable reduction and rigid analytic uniformization of abelian varieties

Siegfried Bosch (1983-1984)

Groupe de travail d'analyse ultramétrique

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Étale fundamental groups of non-archimedean analytic spaces

A. J. De Jong (1995)

Compositio Mathematica

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Geometry of an étale covering of the $p$ -adic upper half plane

Jeremy Teitelbaum (1990)

Annales de l'institut Fourier

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We describe the rigid geometry of the first layer in the tower of coverings of the $p$ -adic upper half plane constructed by Drinfeld. Using our results, we describe the stable fiber at p of certain Shimura curves.

Families of Mumford curves

Werner Lütkebohmert (1981-1982)

Groupe de travail d'analyse ultramétrique

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Concerning two covering properties

Rastislav Telgársky (1976)

Colloquium Mathematicae

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Mean with respect to a map

G. J. Michaelides (1981)

Colloquium Mathematicae

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Displaying similar documents to “On p -adic uniformization”

Displaying similar documents to “On $p$ -adic uniformization”