Vector Bundles on a Neighborhood of an Exceptional Curve and Elementary Transformations
| dc.creator | Ballico, Edoardo | |
| dc.creator | Gasparim, Elizabeth | |
| dc.date | 2001-08-21 | |
| dc.date.accessioned | 2026-07-07T04:43:04Z | |
| dc.date.available | 2026-07-07T04:43:04Z | |
| dc.description | Let W be the germ of a smooth complex surface around an exceptional curve and let E be a rank 2 vector bundle on W. We study the cohomological properties of a finite sequence $E_i, 1 \leq i \leq t$ of rank 2 vector bundles canonically associated to E. We calculate numerical invariants of E in terms of the $E_i.$ If S is a compact complex smooth surface and E is a rank 2 bundle on the blow- up of S at a point, we show that all values of $c_2(E)-c_2(π_* E^{\vee\vee})$ that are numerically possible are actually attained. | |
| dc.description | To appear in Forum Mathematicum | |
| dc.identifier | https://arxiv.org/abs/math/0108146 | |
| dc.identifier | http://arxiv.org/abs/math/0108146 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62058 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F05 | |
| dc.title | Vector Bundles on a Neighborhood of an Exceptional Curve and Elementary Transformations | |
| dc.type | text |