Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2013, Volume 413, Pages 106–114 (Mi znsl5665)  
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
Full-text PDF (213 kB) Citations (5)
References:
PDF
HTML
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
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 202, Issue 3, Pages 404–409
DOI: https://doi.org/10.1007/s10958-014-2050-5
Bibliographic databases:
Document Type: Article
UDC: 512.62
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Zhu13}
\by I.~B.~Zhukov
\paper Ramification in elementary abelian extensions
\inbook Problems in the theory of representations of algebras and groups. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 413
\pages 106--114
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5665}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3073060}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 202
\issue 3
\pages 404--409
\crossref{https://doi.org/10.1007/s10958-014-2050-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919913867}
Linking options:
  • https://www.mathnet.ru/eng/znsl5665
  • https://www.mathnet.ru/eng/znsl/v413/p106
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:332
    Full-text PDF :72
    References:42
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024