Sur la R-équivalence de torseurs sous un groupe fini

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We give criteria for R-equivalence of torsors under finite constant group schemes over a field. In paticular, using bitorsors, we obtain a Galois devissage result which formalises and generalises a theorem of Philippe Gille in the case of local fields; for instance, Gille's theorem is shown to extend to higher local fields.
21 pages, in French, minor changes; to appear in Journal of Number Theory

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Algebraic Geometry, Number Theory, 12G05; 14G20; 18G50

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http://salesiana.dossiersoluciones.com/handle/123456789/63574

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203151
 http://arxiv.org/abs/math/0203151

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arXiv