Hyperbolicity of orthogonal involutions

Abstract

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.

16 pages

References in corpus (1)

• Orthogonal involution on algebras of degree 16 and the Killing form of E8

Cited by in corpus (5)

• Semiorthogonal decompositions and birational geometry of del Pezzo surfaces over arbitrary fields
• Shells of twisted flag varieties and the Rost invariant
• The J-invariant, Tits algebras and Triality
• Isotropy of orthogonal involutions
• Upper motives of algebraic groups and incompressibility of Severi-Brauer varieties