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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 413, Pages 106–114
(Mi znsl5665)
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This article is cited in 5 scientific papers (total in 5 papers)
Ramification in elementary abelian extensions
I. B. Zhukov St. Petersburg State University, St. Petersburg, Russia
Abstract:
The paper is devoted to some properites of ramification invariants in infinite abelian extensions of exponent $p$ for a class of complete discrete valuation fields that includes $2$-dimensional local fields of prime characteristic $p$. In particular, it is proved that the maximal such extension with prescribed upper bound of ramification breaks has finite depth of ramification, and this depth is computed.
Key words and phrases:
complete discrete valuation field, imperfect residue field, two-dimensional local field, ramification.
Received: 17.04.2013
Citation:
I. B. Zhukov, “Ramification in elementary abelian extensions”, Problems in the theory of representations of algebras and groups. Part 24, Zap. Nauchn. Sem. POMI, 413, POMI, St. Petersburg, 2013, 106–114; J. Math. Sci. (N. Y.), 202:3 (2014), 404–409
Linking options:
https://www.mathnet.ru/eng/znsl5665 https://www.mathnet.ru/eng/znsl/v413/p106
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Abstract page: | 332 | Full-text PDF : | 72 | References: | 42 |
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