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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 413, Pages 26–44 (Mi znsl5655)  
This article is cited in 2 scientific papers (total in 2 papers)

The Hilbert symbol in multidimensional local fields for Lubin–Tate formal groups. 2

S. S. Afanas'eva

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (300 kB) Citations (2)
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Abstract: In this paper an explicit formula for the Hilbert pairing between the Milnor $K$-group of multidimensional local field and the multidimensional Lubin–Tate formal module is derived. This formula is a generalization of such formula in one-dimensional case. Here we consider the case of characteristic $p>0$ of penultimate residue field.
Key words and phrases: Lubiт–Tate formal groups, Hilbert symbol, multidimensional local fields.
Received: 28.11.2011
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 202, Issue 3, Pages 346–359
DOI: https://doi.org/10.1007/s10958-014-2047-0
Bibliographic databases:
Document Type: Article
UDC: 512.741
Language: Russian
Citation: S. S. Afanas'eva, “The Hilbert symbol in multidimensional local fields for Lubin–Tate formal groups. 2”, Problems in the theory of representations of algebras and groups. Part 24, Zap. Nauchn. Sem. POMI, 413, POMI, St. Petersburg, 2013, 26–44; J. Math. Sci. (N. Y.), 202:3 (2014), 346–359
Citation in format AMSBIB
\Bibitem{Afa13}
\by S.~S.~Afanas'eva
\paper The Hilbert symbol in multidimensional local fields for Lubin--Tate formal groups.~2
\inbook Problems in the theory of representations of algebras and groups. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 413
\pages 26--44
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5655}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3073057}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 202
\issue 3
\pages 346--359
\crossref{https://doi.org/10.1007/s10958-014-2047-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919949997}
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  • https://www.mathnet.ru/eng/znsl/v413/p26
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    Citing articles in Google Scholar: Russian citations, English citations
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