Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255973 | Journal of Geometry and Physics | 2017 | 13 Pages |
Abstract
For a stable vector bundle E of slope μ(E)>2gâ1 on a smooth, projective curve of genus g, we show that the Picard sheaf EË on the Picard variety of the curve is stable. We introduce a homological tool for testing semistability of Picard sheaves. We also obtain the semistability of the general Picard sheaf if μ(E)â[gâ2,g],μ(E)â gâ1.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Georg Hein, David Ploog,