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. Bibliography: 9 titles.
Original language | English (US) |
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Pages (from-to) | 397-419 |
Number of pages | 23 |
Journal | Sbornik Mathematics |
Volume | 81 |
Issue number | 2 |
DOIs | |
State | Published - Feb 28 1995 |
ASJC Scopus subject areas
- Mathematics (miscellaneous)