Tame kernels and Tate kernels of quadratic number fields

被引：0

作者：

Qin, HR ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[2] ICTP, I-34100 Trieste, Italy

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2001年 / 530卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a quadratic field. We obtain necessary and sufficient conditions for an element of order two in the tame kernel of F to be a fourth power in the tame kernel of F. This enables us to compute the 8-rank of the tame kernel of F. In the case when F is an imaginary quadratic field with 8-rank of K2OF = 0, the explicit structure of the Tate kernel of F can be obtained by our method.

引用

页码：105 / 144

页数：40