Geodesic
Hyperbolicity of orthogonal involutions
Documenta mathematica, Andrei A. Suslin's Sixtieth Birthday (2010), pp. 371-392.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We show that a non-hyperbolic orthogonal involution on a central simple algebra over a field of characteristic $\ne 2$ remains non-hyperbolic over some splitting field of the algebra.
Classification : 14C15, 16K20, 14C25
Keywords: algebraic groups, involutions, projective homogeneous varieties, Chow groups and motives, Steenrod operations 
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     author = {Karpenko, Nikita A.},
     title = {Hyperbolicity of orthogonal involutions},
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Karpenko, Nikita A. Hyperbolicity of orthogonal involutions. Documenta mathematica, Andrei A. Suslin's Sixtieth Birthday (2010), pp. 371-392. http://geodesic.mathdoc.fr/item/DOCMA_2010__S4__a10/