Line bundles for which a projectivized jet bundle is a product
| dc.creator | Di Rocco, S. | |
| dc.creator | Sommese, A. J. | |
| dc.date | 1998-06-26 | |
| dc.date.accessioned | 2026-07-07T05:25:12Z | |
| dc.date.available | 2026-07-07T05:25:12Z | |
| dc.description | We characterize the triples (X,L,H), consisting of holomorphic line bundles L and H on a complex projective manifold X, such that for some positive integer k, the k-th holomorphic jet bundle of L, J_k(L), is isomorphic to a direct sum H+...+H. Given the geometrical constrains imposed by a projectivized line bundle being a product of the base and a projective space it is natural to expect that this would happen only under very rare circumstances. It is shown, in fact, that X is either an Abelian variety or projective space. In the former case L\cong H is any line bundle of Chern class zero. In the later case for k a positive integer, L=O_{P^n}(q) with J_k(L)=H+...+H if and only if H=O_{P^n}(q-k) and either q\ge k or q\le -1. | |
| dc.description | Latex file, 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/9806144 | |
| dc.identifier | http://arxiv.org/abs/math/9806144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77093 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J40, 14M99 | |
| dc.title | Line bundles for which a projectivized jet bundle is a product | |
| dc.type | text |