Restricting Semistable Bundles on the Projective Plane to Conics
| dc.creator | Vitter, Al | |
| dc.date | 2003-10-06 | |
| dc.date | 2004-03-26 | |
| dc.date.accessioned | 2026-07-07T05:01:39Z | |
| dc.date.available | 2026-07-07T05:01:39Z | |
| dc.description | We study the restrictions of rank 2 semistable vector bundles E on P^2 to conics. A Grauert-Mulich type theorem on the generic splitting is proven. The jumping conics are shown to have the scheme structure of a hypersurface J_{2} in P^5 of degree c_{2}(E) when c_{1}(E)=0 and of degree c_{2}(E)-1 when c_{1}(E)=-1. Some examples of jumping conics and jumping lines are studied in detail. | |
| dc.description | 21 pages,AMSLaTeX Exposition improved, important reference added, minor errors corrected | |
| dc.identifier | https://arxiv.org/abs/math/0310076 | |
| dc.identifier | http://arxiv.org/abs/math/0310076 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68757 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60;14F05 | |
| dc.title | Restricting Semistable Bundles on the Projective Plane to Conics | |
| dc.type | text |