The weak isotropy of quadratic forms over field extensions

被引：1

作者：

O'Shea, James ^{[1
]}

机构：

[1] Natl Univ Ireland Maynooth, Dept Math & Stat, Maynooth, Kildare, Ireland

来源：

MANUSCRIPTA MATHEMATICA | 2014年 / 145卷 / 1-2期

关键词：

11E04; 11E10; 11E25; 11E81; 12D15;

D O I：

10.1007/s00229-014-0671-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The weak isotropy index (or equivalently, sublevel) of arbitrary quadratic forms is studied. Its relationship to the level of a form is investigated. The problem of determining the set of values of the weak isotropy index of a form as it ranges over field extensions is addressed, with both admissible and inadmissible numbers being determined. An analogous investigation with respect to the level of a form is also undertaken. A treatment of forms for which the above invariants coincide concludes this article, with some recently-raised questions being resolved.

引用

页码：143 / 161

页数：19

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