Uniformization of rigid subanalytic sets

Hans Schoutens

Displaying similar documents to “Uniformization of rigid subanalytic sets”

Rigid subanalytic sets

Hans Schoutens (1994)

Compositio Mathematica

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Embedded resolution of singularities in rigid analytic geometry

Hans Schoutens (1999)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Étale fundamental groups of non-archimedean analytic spaces

A. J. De Jong (1995)

Compositio Mathematica

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On $p$ -adic uniformization

Siegfried Bosch (1981-1982)

Groupe de travail d'analyse ultramétrique

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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 $X$ .

Semianalytic and subanalytic sets

Edward Bierstone, Pierre D. Milman (1988)

Publications Mathématiques de l'IHÉS

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Displaying similar documents to “Uniformization of rigid subanalytic sets”

Rigid subanalytic sets

Embedded resolution of singularities in rigid analytic geometry

Étale fundamental groups of non-archimedean analytic spaces

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Etale coverings of a Mumford curve

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On $p$ -adic uniformization