#### DOCUMENTA MATHEMATICA,
Vol. Extra Volume: Andrei A. Suslin's Sixtieth Birthday (2010), 371-392

** Nikita A. Karpenko
with an Appendix by Jean-Pierre Tignol **
Hyperbolicity of Orthogonal Involutions

We show that a non-hyperbolic orthogonal involution on a central simple
algebra over a field of characteristic $\ne2$ remains non-hyperbolic over
some splitting field of the algebra.

2010 Mathematics Subject Classification: 14L17; 14C25

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

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