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Russian Academy of Sciences. Izvestiya Mathematics, 1993, Volume 41, Issue 1, Pages 133–141
DOI: https://doi.org/10.1070/IM1993v041n01ABEH002182 (Mi im929) 		 
This article is cited in 141 scientific papers (total in 141 papers)

Projective bundles, monoidal transformations, and derived categories of coherent sheaves

D. O. Orlov
English version PDF (540 kB) Citations (141)
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DOI: https://doi.org/10.1070/IM1993v041n01ABEH002182
Abstract: This paper studies derived categories of coherent sheaves on varieties that are obtained by projectivization of vector bundles and by monoidal transformations. Conditions for the existence of complete exceptional sets in such categories are derived; they give new examples of varieties on which exceptional sets exist.
Received: 05.06.1991
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1992, Volume 56, Issue 4, Pages 852–862
Bibliographic databases:
Document Type: Article
UDC: 512.73
MSC: Primary 14F05; Secondary 14E15, 14M15
Language: English
Original paper language: Russian
Citation: D. O. Orlov, “Projective bundles, monoidal transformations, and derived categories of coherent sheaves”, Izv. RAN. Ser. Mat., 56:4 (1992), 852–862; Russian Acad. Sci. Izv. Math., 41:1 (1993), 133–141
Citation in format AMSBIB
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\by D.~O.~Orlov
\paper Projective bundles, monoidal transformations, and derived categories of coherent sheaves
\jour Izv. RAN. Ser. Mat.
\yr 1992
\vol 56
\issue 4
\pages 852--862
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993IzMat..41..133O}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 41
\issue 1
\pages 133--141
\crossref{https://doi.org/10.1070/IM1993v041n01ABEH002182}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LZ84700006}
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  • https://doi.org/10.1070/IM1993v041n01ABEH002182
  • https://www.mathnet.ru/eng/im/v56/i4/p852
    • This publication is cited in the following 141 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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    Abstract page:1702
    Russian version PDF:752
    English version PDF:86
    References:79
    First page:4
     
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