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Mathematics of the USSR-Izvestiya, 1979, Volume 13, Issue 3, Pages 499–555
DOI: https://doi.org/10.1070/IM1979v013n03ABEH002076
(Mi im1965)
 

This article is cited in 131 scientific papers (total in 131 papers)

Holomorphic tensors and vector bundles on projective varieties

F. A. Bogomolov
References:
Abstract: In this paper we study vector bundles on varieties of dimension greater than one. To do this, we apply the theory of equivariant model maps developed in the paper. We prove a topological criterion for the unstability of a vector bundle on a projective surface. Using this estimate and the closedness of holomorphic forms on projective varieties we prove the inequality $c_1^2\leqslant4c_2$ for the Chern classes of a surface of general type.
Bibliography: 37 titles.
Received: 05.05.1976
Revised: 28.12.1977
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: Primary 14F05, 14F10, 32L05, 32L10; Secondary 55R40, 57R20, 14J99, 55R10
Language: English
Original paper language: Russian
Citation: F. A. Bogomolov, “Holomorphic tensors and vector bundles on projective varieties”, Math. USSR-Izv., 13:3 (1979), 499–555
Citation in format AMSBIB
\Bibitem{Bog78}
\by F.~A.~Bogomolov
\paper Holomorphic tensors and vector bundles on projective varieties
\jour Math. USSR-Izv.
\yr 1979
\vol 13
\issue 3
\pages 499--555
\mathnet{http://mi.mathnet.ru//eng/im1965}
\crossref{https://doi.org/10.1070/IM1979v013n03ABEH002076}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=522939}
\zmath{https://zbmath.org/?q=an:0439.14002}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JG49100002}
Linking options:
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  • https://doi.org/10.1070/IM1979v013n03ABEH002076
  • https://www.mathnet.ru/eng/im/v42/i6/p1227
  • This publication is cited in the following 131 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:1988
    Russian version PDF:690
    English version PDF:104
    References:91
    First page:1
     
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