The Trace Form Over Cyclic Number Fields

被引：3

作者：

Bolanos, Wilmar ^{[1
]}

Mantilla-Soler, Guillermo ^{[2
,3
]}

机构：

[1] Univ Los Andes, Dept Math, Bogota, Colombia

[2] Univ Konrad Lorenz, Dept Math, Bogota, Colombia

[3] Aalto Univ, Dept Math & Syst Anal, Espoo, Finland

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2021年 / 73卷 / 04期

关键词：

Cyclic number fields; trace form; DISCRIMINANT;

D O I：

10.4153/S0008414X20000255

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the mid 80's Conner and Perlis showed that for cyclic number fields of prime degree p the isometry class of integral trace is completely determined by the discriminant. Here we generalize their result to tame cyclic number fields of arbitrary degree. Furthermore, for such fields, we give an explicit description of a Gram matrix of the integral trace in terms of the discriminant of the field.

引用

页码：947 / 969

页数：23

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