Displaying similar documents to “Weak approximation and non-abellian fundamental groups”

The Brauer group of torsors and its arithmetic applications

David Harari, Alexei N. Skorobogatov (2003)

Annales de l'Institut Fourier

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Let X be an algebraic variety defined over a field k of characteristic 0 , and let Y be an X -torsor under a torus. We compute the Brauer group of Y . In the case of a number field k we deduce results concerning the arithmetic of X .