Small codimension smooth subvarieties in even-dimensional homogeneous spaces with Picard group $\Z$
| dc.creator | Perrin, Nicolas | |
| dc.date | 2007-02-20 | |
| dc.date.accessioned | 2026-07-07T07:47:49Z | |
| dc.date.available | 2026-07-07T07:47:49Z | |
| dc.description | We investigate a method proposed by E. Arrondo and J. Caravantes to study the Picard group of a smooth low-codimension subvariety X in a variety Y when Y is homogeneous. We prove that this method is strongly related to the signature σ_Y of the Poincare pairing on the middle cohomology of Y. We give under some topological assumptions a bound on the rank of Picard group Pic(X) in terms of σ_Y and remove these assumptions for grassmannians to generalise the main result of E. Arrondo and J. Caravantes. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/0702578 | |
| dc.identifier | http://arxiv.org/abs/math/0702578 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124296 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Small codimension smooth subvarieties in even-dimensional homogeneous spaces with Picard group $\Z$ | |
| dc.type | text |