Isotropy of six-dimensional quadratic forms over function fields of quadrics

被引：8

作者：

Izhboldin, OT ^{[1
]}

Karpenko, NA

机构：

[1] St Petersburg State Univ, Dept Math & Mech, St Petersburg 198904, Russia

[2] Univ Franche Comte, Equipe Math Besancon, F-25030 Besancon, France

来源：

JOURNAL OF ALGEBRA | 1998年 / 209卷 / 01期

关键词：

D O I：

10.1006/jabr.1998.7532

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a field of characteristic different from 2 and let phi be an anisotropic six-dimensional quadratic form over F. 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). (C) 1998 Academic Press.

引用

页码：65 / 93

页数：29

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