Schwarzenberger bundles of arbitary rank on the projective space
| dc.creator | Arrondo, Enrique | |
| dc.date | 2008-07-10 | |
| dc.date | 2008-10-10 | |
| dc.date.accessioned | 2026-07-07T10:08:38Z | |
| dc.date.available | 2026-07-07T10:08:38Z | |
| dc.description | We introduce a generalized notion of Schwarzenberger bundle on the projective space. Associated to this more general definition, we give an ad-hoc notion of jumping subspaces of a Steiner bundle on ${\Bbb P^n}$ (which in rank $n$ coincides with the notion of unstable hyperplane introduced by Vallès, Ancona and Ottaviani). For the set of jumping hyperplanes, we find a sharp bound for its dimension. We also classify those Steiner bundles whose set of jumping hyperplanes have maximal dimension and prove that they are generalized Schwarzenberger bundles. | |
| dc.description | v3 is the submitted version of the paper. It differs from v2 in the correction of some typos, the reconstruction of the proof of Lemma 3.6, and that now it is re-written in LaTeX | |
| dc.identifier | https://arxiv.org/abs/0807.1645 | |
| dc.identifier | http://arxiv.org/abs/0807.1645 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171063 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F05; 14N05 | |
| dc.title | Schwarzenberger bundles of arbitary rank on the projective space | |
| dc.type | text |