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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 264, Pages 116–128 (Mi tm800)  
This article is cited in 32 scientific papers (total in 32 papers)

Derived Categories of Fano Threefolds

A. G. Kuznetsovab

a Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
b Laboratoire J.-V. Poncelet, Independent University of Moscow, Moscow, Russia
Full-text PDF (247 kB) Citations (32)
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Abstract: We consider the structure of the derived categories of coherent sheaves on Fano threefolds with Picard number 1 and describe a strange relation between derived categories of different threefolds. In the appendix we discuss how the ring of algebraic cycles of a smooth projective variety is related to the Grothendieck group of its derived category.
Received in September 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 264, Pages 110–122
DOI: https://doi.org/10.1134/S0081543809010143
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: A. G. Kuznetsov, “Derived Categories of Fano Threefolds”, Multidimensional algebraic geometry, Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences, Trudy Mat. Inst. Steklova, 264, MAIK Nauka/Interperiodica, Moscow, 2009, 116–128; Proc. Steklov Inst. Math., 264 (2009), 110–122
Citation in format AMSBIB
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\pages 116--128
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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