A characterization of ramification groups of local fields with imperfect residue field
A characterization of ramification groups of local fields with imperfect residue field
复制标题
具有不完善剩余场的局部场的分支群的表征
DOI：
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
Takeshi Saito
中科院分区：
文献类型：
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作者：
Takeshi Saito
我们使用具有完美残差场的局部场来表征具有不完美残差场的局部场的分支群。作为一个应用，我们证明了以不同方式定义的阿贝尔扩张的分支群的等式。
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.