论文标题
特征2中功能字段的二次形式的各向同性
Isotropy of quadratic forms over function fields in characteristic 2
论文作者
论文摘要
我们扩展到有关二次形式在功能场上的各向同性的最新结果。特别是，我们不仅提供了二次形式的功能字段的表征，而且还提供了多个变量中多项式的更普遍的表征，在这些变量上，二次形式成为各向同性。作为这些结果的应用，我们获得了二次形式的稳定的异性等效性的标准。
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.
