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math.AG2012
Groupe de Brauer non ramifié d'espaces homogènes de tores
Jean-Louis Colliot-Thélène
Let k be a field, X a smooth, projective k-variety. If X is geometrically rational, there is an injective map from the quotient of Brauer groups Br(X)/Br(k) into the first Galois c…
math.NT2012
Approximation forte en famille
Jean-Louis Colliot-Thélène, David Harari
Let be a number field and a smooth integral affine variety equipped with a morphism to the affine line. Assume that all fibres of are split, for insta…
math.AG2012
Groupe de Brauer non ramifié de quotients par un groupe fini
Jean-Louis Colliot-Thélène
Let k be a field, G a finite group embedded in the k-group SL(n). For k an algebraically closed field, Bogomolov gave a formula for the unramified Brauer group of the quotient SL(n…