Hyperbolicity of hermitian forms over biquaternion algebras , by Nikita A. Karpenko

[Dec 17 version replaced, Jan 7]

We show that a non-hyperbolic hermitian form over a biquaternion algebra over a field of characteristic not 2 remains non-hyperbolic over a generic splitting field of the algebra.


Nikita A. Karpenko <karpenko at math.jussieu.fr >