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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 443, Pages 46–60 (Mi znsl6256)  
This article is cited in 2 scientific papers (total in 2 papers)

Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field. II

S. V. Vostokov, V. V. Volkov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (231 kB) Citations (2)
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Abstract: Current paper describes the explicit formula of the Hibert pairing between Milnor $K$-group of multidimensional local field and polynomial formal module. This formula generalizes similar results for one-dimensioinal case and multidimensional case of multiplicative group. A case of different characteristics of a field and its first residue field is considered.
Key words and phrases: formal groups, Hilbert symbol, mutidimensional local field, Milnor $K$-group.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00393-а
Received: 21.12.2015
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 222, Issue 4, Pages 394–403
DOI: https://doi.org/10.1007/s10958-017-3310-y
Bibliographic databases:
Document Type: Article
UDC: 512.741
Language: Russian
Citation: S. V. Vostokov, V. V. Volkov, “Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field. II”, Problems in the theory of representations of algebras and groups. Part 29, Zap. Nauchn. Sem. POMI, 443, POMI, St. Petersburg, 2016, 46–60; J. Math. Sci. (N. Y.), 222:4 (2017), 394–403
Citation in format AMSBIB
\Bibitem{VosVol16}
\by S.~V.~Vostokov, V.~V.~Volkov
\paper Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field.~II
\inbook Problems in the theory of representations of algebras and groups. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 443
\pages 46--60
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6256}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3507764}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 222
\issue 4
\pages 394--403
\crossref{https://doi.org/10.1007/s10958-017-3310-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014745972}
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  • https://www.mathnet.ru/eng/znsl/v443/p46
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    Citing articles in Google Scholar: Russian citations, English citations
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