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Obstructions de Brauer-Manin entières sur les espaces homogènes à stabilisateurs finis nilpotents

Published 27 Feb 2014 in math.NT and math.AG | (1402.6881v1)

Abstract: Let $k$ be a number field. We construct homogeneous spaces of $SL_{n,k}$ with finite nilpotent non-abelian stabilizers for which the Brauer-Manin obstruction does not explain the failure of strong approximation (resp. the failure of the integral Hasse principle).

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