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Moscow Mathematical Journal, 2009, Volume 9, Number 1, Pages 143–149
DOI: https://doi.org/10.17323/1609-4514-2009-9-1-143-149 (Mi mmj340) 		 
This article is cited in 59 scientific papers (total in 59 papers)

Remarks on generators and dimensions of triangulated categories

Dmitri Orlov

Algebra Section, Steklov Math. Institute of RAS, Moscow, Russia
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DOI: https://doi.org/10.17323/1609-4514-2009-9-1-143-149
Abstract: In this paper we prove that the dimension of the bounded derived category of coherent sheaves on a smooth quasi-projective curve is equal to one. We also discuss dimension spectrums of these categories.
Key words and phrases: triangulated categories, derived categories, generators, dimension.
Received: April 7, 2008
Bibliographic databases:
Document Type: Article
MSC: 18E30, 14F05
Language: English
Citation: Dmitri Orlov, “Remarks on generators and dimensions of triangulated categories”, Mosc. Math. J., 9:1 (2009), 143–149
Citation in format AMSBIB
\Bibitem{Orl09}
\by Dmitri~Orlov
\paper Remarks on generators and dimensions of triangulated categories
\jour Mosc. Math.~J.
\yr 2009
\vol 9
\issue 1
\pages 143--149
\mathnet{http://mi.mathnet.ru/mmj340}
\crossref{https://doi.org/10.17323/1609-4514-2009-9-1-143-149}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2567400}
\zmath{https://zbmath.org/?q=an:05642253}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000269218000007}
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    • This publication is cited in the following 59 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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