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This article is cited in 131 scientific papers (total in 131 papers)
Holomorphic tensors and vector bundles on projective varieties
F. A. Bogomolov
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
Citation:
F. A. Bogomolov, “Holomorphic tensors and vector bundles on projective varieties”, Izv. Akad. Nauk SSSR Ser. Mat., 42:6 (1978), 1227–1287; Math. USSR-Izv., 13:3 (1979), 499–555
Linking options:
https://www.mathnet.ru/eng/im1965https://doi.org/10.1070/IM1979v013n03ABEH002076 https://www.mathnet.ru/eng/im/v42/i6/p1227
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Abstract page: | 1922 | Russian version PDF: | 674 | English version PDF: | 82 | References: | 77 | First page: | 1 |
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