论文标题

具有不完美残留场的本地场的分支组的表征

A characterization of ramification groups of local fields with imperfect residue field

论文作者

Saito, Takeshi

论文摘要

我们将使用不完美残基磁场的本地场的局部磁场进行表征,该局部场的分支群组组的分支群组组的分析组。作为应用程序,我们以不同方式定义的Abelian扩展名的RAMIFIENT组相等。

We give a characterization of ramification groups of local fields with imperfect residue fields, using those for local fields with perfect residue fields. As an application, we reprove an equality of ramification groups for abelian extensions defined in different ways.

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