The defect of weak approximation for homogeneous spaces
Mikhail Borovoi (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Mikhail Borovoi (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Mikhail Borovoi, Boris Kunyavskii (2001)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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David Harari, Alexei N. Skorobogatov (2003)
Annales de l'Institut Fourier
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Let be an algebraic variety defined over a field of characteristic , and let be an -torsor under a torus. We compute the Brauer group of . In the case of a number field we deduce results concerning the arithmetic of .
Mikhail Borovoi, Boris Kunyavskii (1997)
Collectanea Mathematica
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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.
Alexander Merkurjev (2002)
Annales scientifiques de l'École Normale Supérieure
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J. Tate (1956-1958)
Séminaire Bourbaki
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