Nikita A. Karpenko: Isotropy of orthogonal involutions

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Submission: 2009, Nov 21

An orthogonal involution on a central simple algebra becoming isotropic over any splitting field of the algebra, becomes isotropic over a finite odd degree extension of the base field (provided that the characteristic of the base field is not 2).

2000 Mathematics Subject Classification: 14L17; 14C25

Keywords and Phrases: Algebraic groups, involutions, projective homogeneous varieties, Chow groups and motives.

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