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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 81, Issue 2, Pages 397–419
DOI: https://doi.org/10.1070/SM1995v081n02ABEH003544
(Mi sm889)
 

This article is cited in 12 scientific papers (total in 12 papers)

Stable vector bundles on projective surfaces

F. A. Bogomolov

Steklov Mathematical Institute, Russian Academy of Sciences
References:
Abstract: An effective variant of an arithmetic criterion for instability of vector bundles on a surface is considered. Namely, a lower bound is established for the degree of a destabilizing subsheaf in a vector bundle with positive discriminant. This bound, which depends on the rank and discriminant of the bundle, is used to prove that the restrictions of stable bundles on a surface to curves are stable, and to prove a number of other results.
Received: 25.08.1993
Bibliographic databases:
Document Type: Article
UDC: 512
MSC: Primary 14J60, 14F05; Secondary 14J10, 14D20, 14J05
Language: English
Original paper language: Russian
Citation: F. A. Bogomolov, “Stable vector bundles on projective surfaces”, Russian Acad. Sci. Sb. Math., 81:2 (1995), 397–419
Citation in format AMSBIB
\Bibitem{Bog94}
\by F.~A.~Bogomolov
\paper Stable vector bundles on projective surfaces
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 81
\issue 2
\pages 397--419
\mathnet{http://mi.mathnet.ru//eng/sm889}
\crossref{https://doi.org/10.1070/SM1995v081n02ABEH003544}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1272185}
\zmath{https://zbmath.org/?q=an:0838.14036}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RB51300007}
Linking options:
  • https://www.mathnet.ru/eng/sm889
  • https://doi.org/10.1070/SM1995v081n02ABEH003544
  • https://www.mathnet.ru/eng/sm/v185/i4/p3
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:586
    Russian version PDF:262
    English version PDF:23
    References:50
    First page:1
     
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