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Russian Academy of Sciences. Izvestiya Mathematics, 1994, Volume 43, Issue 1, Pages 127–140
DOI: https://doi.org/10.1070/IM1994v043n01ABEH001553 (Mi im862) 		 
This article is cited in 1 scientific paper (total in 1 paper)

I. N. Bernstein–I. M. Gel'fand–S. I. Gel'fand equivalence for triangulated categories generated by helixes

A. E. Polishchuk
English version PDF (716 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1994v043n01ABEH001553
Abstract: An analogue of the Bernshtein–Gel'fand–Gel'fand equivalence is proved for triangulated categories generated by exceptional sets with special properties. The proof uses the technique of mutations and helixes.
Received: 27.12.1991
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1993, Volume 57, Issue 4, Pages 139–152
Bibliographic databases:
UDC: 513.6
MSC: Primary 18E30; Secondary 14F05, 18F20
Language: English
Original paper language: Russian
Citation: A. E. Polishchuk, “I. N. Bernstein–I. M. Gel'fand–S. I. Gel'fand equivalence for triangulated categories generated by helixes”, Izv. RAN. Ser. Mat., 57:4 (1993), 139–152; Russian Acad. Sci. Izv. Math., 43:1 (1994), 127–140
Citation in format AMSBIB
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\by A.~E.~Polishchuk
\paper I.\,N.~Bernstein--I.\,M.~Gel'fand--S.\,I.~Gel'fand equivalence for triangulated categories generated by helixes
\jour Izv. RAN. Ser. Mat.
\yr 1993
\vol 57
\issue 4
\pages 139--152
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1243356}
\zmath{https://zbmath.org/?q=an:0826.18005}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994IzMat..43..127P}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 43
\issue 1
\pages 127--140
\crossref{https://doi.org/10.1070/IM1994v043n01ABEH001553}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PQ58000008}
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  • https://doi.org/10.1070/IM1994v043n01ABEH001553
  • https://www.mathnet.ru/eng/im/v57/i4/p139
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:400
    Russian version PDF:115
    English version PDF:8
    References:43
    First page:2
     
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