Hyperbolicity of orthogonal involutions. With an appendix by Jean-Pierre Tignol. (English) Zbl 1258.14007
Summary: We show that a non-hyperbolic orthogonal involution on a central simple algebra over a field of characteristic \(\neq 2\) remains non-hyperbolic over some splitting field of the algebra.
MSC:
| 14C15 | (Equivariant) Chow groups and rings; motives |
| 16K20 | Finite-dimensional division rings |
| 14C25 | Algebraic cycles |
