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Russian Academy of Sciences. Izvestiya Mathematics, 1995, Volume 44, Issue 3, Pages 479–513
DOI: https://doi.org/10.1070/IM1995v044n03ABEH001609 (Mi im788) 		 
This article is cited in 47 scientific papers (total in 47 papers)

Exceptional sheaves on del Pezzo surfaces

S. A. Kuleshov, D. O. Orlov
English version PDF (1718 kB) Citations (47)
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DOI: https://doi.org/10.1070/IM1995v044n03ABEH001609
Abstract: In the present paper exceptional sheaves on del Pezzo surfaces are studied, and a description of rigid bundles on these surfaces is given. It is proved that each exceptional sheaf can be included in a complete exceptional collection. Furthermore, it is shown that all such collections can be obtained from each other by means of a sequence of standard operations called transformations.
Received: 03.06.1993
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1994, Volume 58, Issue 3, Pages 53–87
Bibliographic databases:
Document Type: Article
UDC: 512.723
MSC: 14F05, 14J26
Language: English
Original paper language: Russian
Citation: S. A. Kuleshov, D. O. Orlov, “Exceptional sheaves on del Pezzo surfaces”, Izv. RAN. Ser. Mat., 58:3 (1994), 53–87; Russian Acad. Sci. Izv. Math., 44:3 (1995), 479–513
Citation in format AMSBIB
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\by S.~A.~Kuleshov, D.~O.~Orlov
\paper Exceptional sheaves on del~Pezzo surfaces
\jour Izv. RAN. Ser. Mat.
\yr 1994
\vol 58
\issue 3
\pages 53--87
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\zmath{https://zbmath.org/?q=an:0842.14009}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1995IzMat..44..479K}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 44
\issue 3
\pages 479--513
\crossref{https://doi.org/10.1070/IM1995v044n03ABEH001609}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RQ68000003}
Linking options:
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  • https://doi.org/10.1070/IM1995v044n03ABEH001609
  • https://www.mathnet.ru/eng/im/v58/i3/p53
    • This publication is cited in the following 47 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:825
    Russian version PDF:301
    English version PDF:24
    References:55
    First page:4
     
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