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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 330, Pages 93–100 (Mi znsl280)  
Distinguished isogenies for formal groups in local fields with small ramification

S. V. Vostokov, B. M. Bekker

Saint-Petersburg State University
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Abstract: We prove the existence of distinguished isogenies for formal groups defined over the ring of integers of a local field with ramification index less than the characteristic of the residue field. This generalizes the result of Demchenko for Honda formal groups.
Received: 15.01.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 140, Issue 5, Pages 655–659
DOI: https://doi.org/10.1007/s10958-007-0005-9
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: S. V. Vostokov, B. M. Bekker, “Distinguished isogenies for formal groups in local fields with small ramification”, Problems in the theory of representations of algebras and groups. Part 13, Zap. Nauchn. Sem. POMI, 330, POMI, St. Petersburg, 2006, 93–100; J. Math. Sci. (N. Y.), 140:5 (2007), 655–659
Citation in format AMSBIB
\Bibitem{VosBek06}
\by S.~V.~Vostokov, B.~M.~Bekker
\paper Distinguished isogenies for formal groups in local fields with small ramification
\inbook Problems in the theory of representations of algebras and groups. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 330
\pages 93--100
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl280}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2253568}
\zmath{https://zbmath.org/?q=an:1146.11060}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 140
\issue 5
\pages 655--659
\crossref{https://doi.org/10.1007/s10958-007-0005-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846166727}
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