具有不完全残域的局部域分支群的梯度商

IF 1.7 1区数学 Q1 MATHEMATICS American Journal of Mathematics Pub Date : 2023-10-01 DOI:10.1353/ajm.2023.a907702

Takeshi Saito

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引用次数: 5

摘要

证明了残差特征$p>0$的任意henselian离散赋值域的分枝群过滤的分级商是${\bf F}_p$-向量空间。我们定义了将每阶商的特征群注入到用余切复定义的扭曲余切空间。

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Graded quotients of ramification groups of local fields with imperfect residue fields

abstract: We prove that the graded quotients of the filtration by ramification groups of any henselian discrete valuation field of residue characteristic $p>0$ are ${\bf F}_p$-vector spaces. We define an injection of the character group of each graded quotient to a twisted cotangent space defined using a cotangent complex.

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来源期刊

American Journal of Mathematics 数学-数学

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.