Stable vector bundles on projective surfaces

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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. Bibliography: 9 titles.

Original languageEnglish (US)
Pages (from-to)397-419
Number of pages23
JournalSbornik Mathematics
Issue number2
StatePublished - Feb 28 1995

ASJC Scopus subject areas

  • Mathematics (miscellaneous)


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