Splitting patterns and trace forms

Canadian mathematical bulletin

关键词: Quadratic forms;    Witt indices;    generic splitting.;   

DOI  :  10.4153/CMB-1998-011-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

The splitting pattern of a quadratic form $q$ overa field $k$ consists of all distinct Witt indices that occur for $q$over extension fields of $k$. In small dimensions, the complete listof splitting patterns of quadratic forms is known. We show that{it all/} splitting patterns of quadratic forms of dimension atmost nine can be realized by trace forms.

【 授权许可】

Unknown