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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
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
Citation:
F. A. Bogomolov, “Stable vector bundles on projective surfaces”, Russian Acad. Sci. Sb. Math., 81:2 (1995), 397–419
Linking options:
https://www.mathnet.ru/eng/sm889https://doi.org/10.1070/SM1995v081n02ABEH003544 https://www.mathnet.ru/eng/sm/v185/i4/p3
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Abstract page: | 586 | Russian version PDF: | 262 | English version PDF: | 23 | References: | 50 | First page: | 1 |
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