Non-hyperbolic splitting of quadratic pairs

We show that a non-hyperbolic quadratic pair on a central simple algebra Brauer equivalent to a quaternion algebra stays non-hyperbolic over some splitting field of the quaternion algebra. This extends a result previously only known for fields of characteristic different from two. Our presentation is free from restrictions on the characteristic of the base field.

Publication year:2015

Keywords:A1 Journal article

BOF-keylabel:yes

BOF-publication weight:0.5

CSS-citation score:1

Authors:International

Authors from:Higher Education

Accessibility:Closed