karpenko at math.jussieu.fr
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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