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Russian Mathematical Surveys, 2003, Volume 58, Issue 3, Pages 511–591
DOI: https://doi.org/10.1070/RM2003v058n03ABEH000629 (Mi rm629) 		 
This article is cited in 68 scientific papers (total in 68 papers)

Derived categories of coherent sheaves and equivalences between them

D. O. Orlov

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (874 kB) Citations (68) Russian version article
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DOI: https://doi.org/10.1070/RM2003v058n03ABEH000629
Abstract: This paper studies the derived categories of coherent sheaves on smooth complete algebraic varieties and equivalences between them. We prove that every equivalence of categories is represented by an object on the product of the varieties. This result is applied to describe the Abelian varieties and K3 surfaces that have equivalent derived categories of coherent sheaves.
Received: 05.02.2003
Bibliographic databases:
Document Type: Article
UDC: 512.73+512.664
MSC: Primary 14F05, 18E30; Secondary 14J28, 14K05
Language: English
Original paper language: Russian
Citation: D. O. Orlov, “Derived categories of coherent sheaves and equivalences between them”, Russian Math. Surveys, 58:3 (2003), 511–591
Citation in format AMSBIB
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\by D.~O.~Orlov
\paper Derived categories of coherent sheaves and equivalences between them
\jour Russian Math. Surveys
\yr 2003
\vol 58
\issue 3
\pages 511--591
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    • This publication is cited in the following 68 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
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    Abstract page:1752
    Russian version PDF:997
    English version PDF:39
    References:115
    First page:3
     
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