Isotropy of quadratic forms over function fields in characteristic 2

Abstract

We extend to characteristic two recent results about isotropy of quadratic forms over function fields. In particular, we provide a characterization of function fields not only of quadratic forms but also more generally of polynomials in several variables, over which a quadratic form becomes isotropic. As an application of these results, we obtain criteria for stable birational equivalence of quadratic forms.

20 pages

References in corpus (1)

• Some criteria for stably birational equivalence of quadratic forms

Cited by in corpus (2)

• Isotropy and full splitting pattern of quasilinear $p$-forms
• Isotropy indices of Pfister multiples in characteristic two