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Izvestiya: Mathematics, 2006, Volume 70, Issue 3, Pages 447–547
DOI: https://doi.org/10.1070/IM2006v070n03ABEH002318 (Mi im556) 		 
This article is cited in 82 scientific papers (total in 82 papers)

Hyperplane sections and derived categories

A. G. Kuznetsov

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (1058 kB) Citations (82)
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DOI: https://doi.org/10.1070/IM2006v070n03ABEH002318
Abstract: We give a generalization of the theorem of Bondal and Orlov about the derived categories of coherent sheaves on intersections of quadrics, revealing the relation of this theorem to projective duality. As an application, we describe the derived categories of coherent sheaves on Fano 3-folds of index 1 and degrees 12, 16 and 18.
Received: 26.04.2005
Revised: 12.09.2005
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2006, Volume 70, Issue 3, Pages 23–128
DOI: https://doi.org/10.4213/im556
Bibliographic databases:
Document Type: Article
UDC: 512.73
MSC: 18E30, 14A22
Language: English
Original paper language: Russian
Citation: A. G. Kuznetsov, “Hyperplane sections and derived categories”, Izv. RAN. Ser. Mat., 70:3 (2006), 23–128; Izv. Math., 70:3 (2006), 447–547
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v70/i3/p23
    • This publication is cited in the following 82 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
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    Abstract page:1025
    Russian version PDF:357
    English version PDF:23
    References:78
    First page:16
     
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