Chern Classes of Bundles over Rational Surfaces
| dc.creator | Gasparim, Elizabeth | |
| dc.date | 1997-11-15 | |
| dc.date | 1998-07-27 | |
| dc.date.accessioned | 2026-07-07T01:51:18Z | |
| dc.date.available | 2026-07-07T01:51:18Z | |
| dc.description | Consider the blow up $π: \widetilde{X} \to X$ of a rational surface $X$ at a point. Let $\widetilde{V}$ be a holomorphic bundle over $\widetilde{X}$ whose restriction to the exceptional divisor equals ${\cal{O}(j) \oplus {\cal O}(-j)$ and define $V =(π_*\widetilde{V})^{\vee \vee}.$ Friedman and Morgan gave the following bounds for the second Chern classes $j \leq c_2(\widetilde{V}) - c_2(V) \leq j^2.$ We show that these bounds are sharp. | |
| dc.description | A mistake in the original was corrected | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9711018 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9711018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/262 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Chern Classes of Bundles over Rational Surfaces | |
| dc.type | text |