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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
English version PDF (324 kB) Citations (83) Russian version article
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DOI: https://doi.org/10.1070/IM2002v066n03ABEH000389
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}
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    • This publication is cited in the following 83 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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