Isotropy of quadratic forms over function fields in characteristic 2
Number Theory
2024-08-07 v2 Algebraic Geometry
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.
Cite
@article{arxiv.2206.05987,
title = {Isotropy of quadratic forms over function fields in characteristic 2},
author = {Kristýna Zemková},
journal= {arXiv preprint arXiv:2206.05987},
year = {2024}
}
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20 pages