Algebra i Analiz
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Algebra i Analiz, 2014, Volume 26, Issue 6, Pages 1–9 (Mi aa1404)  
Research Papers

The arithmetic of the Lubin–Tate formal module in a multidimensional complete field

B. M. Bekker, S. V. Vostokov

Department of Mathematics and Mechanics, St. Petersburg State University, 198504, St. Petersburg, Universitetskiĭ pr., 28, Russia
Full-text PDF (191 kB)
References:
PDF
HTML
Abstract: This is the first part of the paper devoted to the derivation of an explicit formula for the Hilbert symbol in a complete multidimensional field. In the present paper, we construct primary elements and the Shafarevich basis for Lubin–Tate formal modules, which is the crucial point in the construction of explicit formulas.
Keywords: Shafarevich generalized basis, formal group law, formal $C$-module, discrete valuation field, unramified extension.
Received: 10.09.2014
English version:
St. Petersburg Mathematical Journal, 2015, Volume 26, Issue 6, Pages 859–865
DOI: https://doi.org/10.1090/spmj/1363
Bibliographic databases:
Document Type: Article
Language: English
Citation: B. M. Bekker, S. V. Vostokov, “The arithmetic of the Lubin–Tate formal module in a multidimensional complete field”, Algebra i Analiz, 26:6 (2014), 1–9; St. Petersburg Math. J., 26:6 (2015), 859–865
Citation in format AMSBIB
\Bibitem{BekVos14}
\by B.~M.~Bekker, S.~V.~Vostokov
\paper The arithmetic of the Lubin--Tate formal module in a~multidimensional complete field
\jour Algebra i Analiz
\yr 2014
\vol 26
\issue 6
\pages 1--9
\mathnet{http://mi.mathnet.ru/aa1404}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3443253}
\elib{https://elibrary.ru/item.asp?id=22834106}
\transl
\jour St. Petersburg Math. J.
\yr 2015
\vol 26
\issue 6
\pages 859--865
\crossref{https://doi.org/10.1090/spmj/1363}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000369702700001}
\elib{https://elibrary.ru/item.asp?id=24961563}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84944327224}
Linking options:
  • https://www.mathnet.ru/eng/aa1404
  • https://www.mathnet.ru/eng/aa/v26/i6/p1
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
    Statistics & downloads:
    Abstract page:435
    Full-text PDF :105
    References:73
    First page:32
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025