On higher trace forms of separable algebras

被引：3

作者：

Florence, Mathieu ^{[1
]}

机构：

[1] Inst Math Jussieu, Equipe Topol & Geometrie Algebr, F-75005 Paris, France

来源：

ARCHIV DER MATHEMATIK | 2011年 / 97卷 / 03期

关键词：

Separable algebras; Galois cohomology; Trace form; Essential dimension;

D O I：

10.1007/s00013-011-0282-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k be a field and A be a separable k-algebra. Let r >= 3 be an integer. Generalizing a result of Reichstein ( Arch. Math. 88 ( 2007), 12-18), we prove that the essential dimension over k of A equals that of the r-fold trace form F-r : (a(1), ... , a(r)) -> (a(1) ... a(r)).

引用

页码：247 / 249

页数：3

共 50 条

[1] On higher trace forms of separable algebras
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