Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 5, Pages 913–936
DOI: https://doi.org/10.1070/IM1976v010n05ABEH001821 (Mi im2222) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On quasi-local “class fields” of elliptic curves. I

O. N. Vvedenskii
English version PDF (1090 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1976v010n05ABEH001821
Abstract: In this paper, we consider those elliptic curves defined over a quasi-local field with all finite Galois cohomology finite. The main result is the extension, with preservation of nondegeneracy of Shafarevich–Ogg pairing for curves of the given class, to the components of the paired groups corresponding to the characteristic of the residue field.
Bibliography: 32 titles.
Received: 22.05.1974
Revised: 01.03.1976
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1976, Volume 40, Issue 5, Pages 969–992
Bibliographic databases:
UDC: 513.6
MSC: Primary 14H45, 14H25; Secondary 12B25
Language: English
Original paper language: Russian
Citation: O. N. Vvedenskii, “On quasi-local “class fields” of elliptic curves. I”, Izv. Akad. Nauk SSSR Ser. Mat., 40:5 (1976), 969–992; Math. USSR-Izv., 10:5 (1976), 913–936
Citation in format AMSBIB
\Bibitem{Vve76}
\by O.~N.~Vvedenskii
\paper On quasi-local ``class fields'' of elliptic curves.~I
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1976
\vol 40
\issue 5
\pages 969--992
\mathnet{http://mi.mathnet.ru/im2222}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=441984}
\zmath{https://zbmath.org/?q=an:0382.14007}
\transl
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 5
\pages 913--936
\crossref{https://doi.org/10.1070/IM1976v010n05ABEH001821}
Linking options:
  • https://www.mathnet.ru/eng/im2222
  • https://doi.org/10.1070/IM1976v010n05ABEH001821
  • https://www.mathnet.ru/eng/im/v40/i5/p969
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:245
    Russian version PDF:89
    English version PDF:15
    References:44
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024