Connected abelian complex Lie groups and number fields

被引：1

作者：

Vallieres, Daniel ^{[1
]}

机构：

[1] Univ Calif San Diego, La Jolla, CA 92093 USA

来源：

JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX | 2012年 / 24卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.5802/jtnb.793

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we explain a way to associate to any number field some connected complex abelian Lie groups. Further, we study the case of non-totally real cubic number fields, and we see that they are intimately related with the Cousin groups (toroidal groups) of complex dimension 2 and rank 3.

引用

页码：201 / 229

页数：29

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