karpenko at math.jussieu.fr

Submission: 2009, Mar 25, revised: 2009, Apr 24

We show that a non-hyperbolic orthogonal involution on a central simple algebra over a field of characteristic different from 2 remains non-hyperbolic over some splitting field of the algebra.

2000 Mathematics Subject Classification: 14L17; 14C25

Keywords and Phrases: Algebraic groups, projective homogeneous varieties, Chow groups

Full text: dvi.gz 38 k, dvi 92 k, ps.gz 853 k, pdf.gz 197 k, pdf 243 k.

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