Stable extensions by line bundles
| dc.creator | Teixidor-i-Bigas, Montserrat | |
| dc.date | 1997-05-21 | |
| dc.date.accessioned | 2026-07-07T09:07:18Z | |
| dc.date.available | 2026-07-07T09:07:18Z | |
| dc.description | Let C be an algebraic curve of genus g. Consider extensions E of a vector bundle F'' of rank n'' by a vector bundle F' of rank n'. The following statement was conjectured by Lange: If 0<n'deg F''-n''degF'\le n'n''(g-1), then there exist extensions like this with E stable. We prove this result for the generic curve when F' is a line bundle. Our method uses a degeneration argument to a reducible curve. | |
| dc.description | plain tex | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9705017 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9705017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150323 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Stable extensions by line bundles | |
| dc.type | text |