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Problèmes de Skolem sur les champs algébriques

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Compositio Mathematica

Abstract

We extend Rumely's local-global principle (as refined by Cantor, Roquette, and the author, i.e. with local splitting conditions) to the case of algebraic stacks, in Artin's sense, over rings of (S-)integers of global fields. The nongeometrically connected case is also taken into account, as well as (in some instances) the case where local conditions are imposed at all places.

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Authors and Affiliations

  1. IRMAR (UMR 6625 du CNRS), Université de Rennes 1, Campus de Beaulieu, F-35042, Rennes Cedex, France

    Laurent Moret-Bailly

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  1. Laurent Moret-Bailly
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Moret-Bailly, L. Problèmes de Skolem sur les champs algébriques. Compositio Mathematica 125, 1–30 (2001). https://doi.org/10.1023/A:1002686625404

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