Isotropy of quadratic forms over function fields in characteristic 2

被引：2

作者：

Zemkova, Kristyna ^{[1
,2
]}

机构：

[1] Tech Univ Dortmund, Fak Math, Dortmund, Germany

[2] Univ Victoria, Dept Math & Stat, Victoria, BC, Canada

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 10期

关键词：

Isotropic; nondefective quadratic forms; quadratic forms; NORM THEOREM;

D O I：

10.1080/00927872.2024.2346638

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：4415 / 4431

页数：17

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