Karpenko, Nikita A.

Hyperbolicity of orthogonal involutions

Doc. Math. (Bielefeld) Extra Vol. Andrei A. Suslin's Sixtieth Birthday, 371-392 (2010)


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.

Mathematics Subject Classification

14C15, 16K20, 14C25


algebraic groups, involutions, projective homogeneous varieties, Chow groups and motives, Steenrod operations