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.

Full text: dvi.gz 24 k, dvi 54 k, ps.gz 680 k, pdf.gz 138 k, pdf 166 k.

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