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Mathematics of the USSR-Izvestiya, 1990, Volume 34, Issue 3, Pages 467–516
DOI: https://doi.org/10.1070/IM1990v034n03ABEH000667
(Mi im1252)
 

This article is cited in 2 scientific papers (total in 2 papers)

Modification of the Fontaine–Laffaille functor

V. A. Abrashkin
References:
Abstract: The paper, gives an explicit construction of a fully faithful functor from the category of finite filtered Dieudonné modules into the category of Galois modules of the algebraic closure of a local field of characteristic zero with a filtration in the case of objects that are annihilated under multiplication by a uniformizing element. With the help of this construction, we give a modification of the Fontaine–Laffaille functor that is fully faithful on the whole category of finite filtered Dieudonné modules.
Bibliography: 13 titles.
Received: 10.11.1987
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: Primary 14L30; Secondary 14F30, 14L05, 11G10
Language: English
Original paper language: Russian
Citation: V. A. Abrashkin, “Modification of the Fontaine–Laffaille functor”, Math. USSR-Izv., 34:3 (1990), 467–516
Citation in format AMSBIB
\Bibitem{Abr89}
\by V.~A.~Abrashkin
\paper Modification of the Fontaine--Laffaille functor
\jour Math. USSR-Izv.
\yr 1990
\vol 34
\issue 3
\pages 467--516
\mathnet{http://mi.mathnet.ru//eng/im1252}
\crossref{https://doi.org/10.1070/IM1990v034n03ABEH000667}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1013709}
\zmath{https://zbmath.org/?q=an:0731.14026}
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  • https://www.mathnet.ru/eng/im1252
  • https://doi.org/10.1070/IM1990v034n03ABEH000667
  • https://www.mathnet.ru/eng/im/v53/i3/p451
  • This publication is cited in the following 2 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:332
    Russian version PDF:115
    English version PDF:20
    References:53
    First page:2
     
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