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Izvestiya: Mathematics, 2002, Volume 66, Issue 3, Pages 569–594
DOI: https://doi.org/10.1070/IM2002v066n03ABEH000389
(Mi im389)
 

This article is cited in 83 scientific papers (total in 83 papers)

Derived categories of coherent sheaves on Abelian varieties and equivalences between them

D. O. Orlov

Steklov Mathematical Institute, Russian Academy of Sciences
References:
Abstract: We study derived categories of coherent sheaves on Abelian varieties. We give a criterion for the equivalence of the derived categories on two Abelian varieties and describe the autoequivalence group for the derived category of coherent sheaves of an Abelian variety.
Received: 01.10.2001
Bibliographic databases:
Document Type: Article
UDC: 512.73
MSC: 18E30, 14K05
Language: English
Original paper language: Russian
Citation: D. O. Orlov, “Derived categories of coherent sheaves on Abelian varieties and equivalences between them”, Izv. Math., 66:3 (2002), 569–594
Citation in format AMSBIB
\Bibitem{Orl02}
\by D.~O.~Orlov
\paper Derived categories of coherent sheaves on Abelian varieties and equivalences between them
\jour Izv. Math.
\yr 2002
\vol 66
\issue 3
\pages 569--594
\mathnet{http://mi.mathnet.ru//eng/im389}
\crossref{https://doi.org/10.1070/IM2002v066n03ABEH000389}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1921811}
\zmath{https://zbmath.org/?q=an:1031.18007}
\elib{https://elibrary.ru/item.asp?id=14321942}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0242380986}
Linking options:
  • https://www.mathnet.ru/eng/im389
  • https://doi.org/10.1070/IM2002v066n03ABEH000389
  • https://www.mathnet.ru/eng/im/v66/i3/p131
  • This publication is cited in the following 83 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:848
    Russian version PDF:335
    English version PDF:46
    References:91
    First page:3
     
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