Continuity of the norm map on Milnor K-theory

被引：4

作者：

Morrow, Matthew ^{[1
]}

机构：

[1] Univ Chicago, Chicago, IL 60637 USA

来源：

JOURNAL OF K-THEORY | 2012年 / 9卷 / 03期

关键词：

Milnor K-theory; norm map; higher local class field theory;

D O I：

10.1017/is011011005jkt166

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The norm map on the Milnor K-groups of a finite extension of complete, discrete valuation fields is continuous with respect to the unit group filtrations. The only proof in the literature, due to K. Kato, uses semi-global methods. Here we present an elementary algebraic proof.

引用

页码：565 / 577

页数：13

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