Principe de Hasse pour les espaces principaux homogènes sous les groupes classiques sur un corps de dimension cohomologique virtuelle au plus 1 |
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| Authors: | Antoine Ducros |
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| Institution: | (1) Mathématiques (batiment 425), Université de Paris-Sud, 91405 Orsay, France |
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| Abstract: | Letk be a perfect field of virtual cohomological dimension at most 1. LetG be a semi-simple, simply connected classical group. In this paper it is proved that a principal homogeneous space underG which is trivial over every real closure ofk is trivial.
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