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Problèmes de Skolem sur les champs algébriques

Published online by Cambridge University Press:  04 December 2007

Laurent Moret-Bailly
Laurent Moret-Bailly
Affiliation:
IRMAR (UMR 6625 du CNRS), Université de Rennes 1, Campus de Beaulieu, F-35042 Rennes Cedex, France. E-mail: moret@univ-rennes1.fr
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Abstract

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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.

Keywords

global fieldSkolem problemalgebraic stack
Type
Research Article
Information
Compositio Mathematica , Volume 125 , Issue 1 , January 2001 , pp. 1 - 30
Copyright
© 2001 Kluwer Academic Publishers