On the Picard group of low-codimension subvarieties
| dc.creator | Arrondo, Enrique | |
| dc.creator | Caravantes, Jorge | |
| dc.date | 2005-11-10 | |
| dc.date | 2006-04-18 | |
| dc.date.accessioned | 2026-07-07T06:51:06Z | |
| dc.date.available | 2026-07-07T06:51:06Z | |
| dc.description | We introduce a method to determine if n-dimensional smooth subvarieties of an ambient space of dimension at most 2n − 2 inherit the Picard group from the ambient space (as it happens when the ambient space is a projective space, according to results of Barth and Larsen). As an application, we give an affirmative answer (up to some mild natural numerical conditions) when the ambient space is a Grassmannian of lines (thus improving results of Barth, Van de Ven and Sommese) or a product of two projective spaces of the same dimension. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0511267 | |
| dc.identifier | http://arxiv.org/abs/math/0511267 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104872 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C22 | |
| dc.title | On the Picard group of low-codimension subvarieties | |
| dc.type | text |