Displaying similar documents to “On the Chow groups of certain rational surfaces”

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 .