The defect of weak approximation for homogeneous spaces

Mikhail Borovoi

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Displaying similar documents to “The defect of weak approximation for homogeneous spaces”

Spherical spaces for which the Hasse principle and weak approximation fail.

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We construct spherical homogeneous spaces X of semisimple simply connected groups with connected stabilizers such that the Hasse principle or weak approximation fail for X.

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The Brauer group of torsors and its arithmetic applications

David Harari, Alexei N. Skorobogatov (2003)

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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 $X$ .