Isotropy of 8-dimensional quadratic forms over function fields of quadrics, by Oleg T. Izhboldin and Nikita A. Karpenko

Let F be a field of characteristic different from 2 and phi be an anisotropic 8-dimensional quadratic form over F with trivial determinant. We study the last open cases in the problem of describing the quadratic forms psi such that phi becomes isotropic over the function field F(psi).

Some other preprints of the authors on the related topics can be found here.

Oleg T. Izhboldin <>
Nikita A. Karpenko <>