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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 492, Pages 25–44
(Mi znsl6955)
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This article is cited in 1 scientific paper (total in 1 paper)
Kurihara invariants and elimination of wild ramification
S. V. Vostokova, I. B. Zhukova, O. Yu. Ivanovab a Saint Petersburg State University
b Saint Petersburg Institute of Aviation Instrumentation
Abstract:
This article continues a series of works devoted to relation between two approaches to classification of complete discrete valuation fields with imperfect residue fields and in particular 2-dimensional local fields in the case of mixed characteristic. One of this approaches was introduced in the work of Masato Kurihara “On two types of complete discrete valuation fields” in terms of the module of differentials. Another one is based on Epp's theory of elimination of wild ramification.
We establish a lower bound for the degree of constant field extension that makes a given field into an almost standard one. This bound is expressed in terms of the invariant introduced in Kurihara's work.
Key words and phrases:
higher local fields, wild ramification, Kahler differentials.
Received: 24.05.2020
Citation:
S. V. Vostokov, I. B. Zhukov, O. Yu. Ivanova, “Kurihara invariants and elimination of wild ramification”, Problems in the theory of representations of algebras and groups. Part 35, Zap. Nauchn. Sem. POMI, 492, POMI, St. Petersburg, 2020, 25–44
Linking options:
https://www.mathnet.ru/eng/znsl6955 https://www.mathnet.ru/eng/znsl/v492/p25
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Abstract page: | 114 | Full-text PDF : | 41 | References: | 21 |
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