2002/03/15 by Laurent Moret-Bailly, Moret-Bailly, Laurent
Mathematics · #12G05 #14G20 #18G50 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:12G05 #msc:14G20 #msc:18G50
paper · pdf · doi:10.48550/arxiv.math/0203151
21 pages, in French, minor changes; to appear in Journal of Number Theory
openalex publication_date 2002/03/15 · arxiv created 2002/09/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.