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

Jeremy Teitelbaum

Displaying similar documents to “Geometry of an étale covering of the $p$ -adic upper half plane”

On $p$ -adic uniformization

Siegfried Bosch (1981-1982)

Groupe de travail d'analyse ultramétrique

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An analytic construction of degenerating curves over complete local rings

David Mumford (1972)

Compositio Mathematica

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Universal extensions and $p$ -adic periods of elliptic curves

Richard Crew (1990)

Compositio Mathematica

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Periods and Gauss-Manin connection for the Mumford curve $y_{2}^{r_{2}} y_{1}^{r_{1}} - y_{2}^{r_{2}} - y_{1}^{r_{1}} + λ = 0$

Lothar Gerritzen (1986-1987)

Groupe de travail d'analyse ultramétrique

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On-line $q$ -adic covering by the method of the $n$ -th segment and its application to on-line covering by cubes.

Januszewski, Janusz, Lassak, Marek, Rote, Günter, Woeginger, Gerhard (1996)

Beiträge zur Algebra und Geometrie

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Reciprocity laws on curves

Robert F. Coleman (1989)

Compositio Mathematica

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Curves and their fundamental groups

Gerd Faltings (1997-1998)

Séminaire Bourbaki

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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 $X$ .

Displaying similar documents to “Geometry of an étale covering of the p -adic upper half plane”

Displaying similar documents to “Geometry of an étale covering of the $p$ -adic upper half plane”