A Note on Tamely Ramified Class Field Theory of Two Dimensional Local Rings

In this note, we treat two dimensional complete local rings which are called "semi-stable local rings" and discuss the tame class filed theory. In 1987, Professor S. Saito completed the unramified class field theory of the general two dimensional excellent local rings. On the other hand, w...

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Bibliographic Details
Main Author Ishida, Shinji
Format Journal Article
LanguageEnglish
Published 24.04.2022
Subjects
Mathematics - Number Theory
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Summary:In this note, we treat two dimensional complete local rings which are called "semi-stable local rings" and discuss the tame class filed theory. In 1987, Professor S. Saito completed the unramified class field theory of the general two dimensional excellent local rings. On the other hand, we discuss the tame class field theory for a specific local rings.
DOI:10.48550/arxiv.2204.12286