Quadratic forms over rational function fields in characteristic 2

被引：1

作者：

Aravire, Roberto ^{[1
]}

Jacob, Bill

机构：

[1] Univ Arturo Prat, Dept Fis & Ciencia Matemat, Casilla 121, Iquique, Chile

[2] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2006年 / 228卷 / 01期

关键词：

Witt group; rational function fields; characteristic two;

D O I：

10.2140/pjm.2006.228.19

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A basic result of Milnor and Scharlau determines the Witt ring of rational function fields Wk(x) whenever char k not equal 2. An analogous result is obtained here for the Witt group of quadratic forms W-q f(x), where f is a field of characteristic 2. This generalizes earlier work by the authors where 9 was assumed to be perfect.

引用

页码：19 / 51

页数：33

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