On smooth rational threefolds of P^5 with rational non-special hyperplane section
| dc.creator | Mezzetti, Emilia | |
| dc.creator | Portelli, Dario | |
| dc.date | 1998-10-09 | |
| dc.date.accessioned | 2026-07-07T05:26:22Z | |
| dc.date.available | 2026-07-07T05:26:22Z | |
| dc.description | It is known that the smooth rational threefolds of P^5 having a rational non-special surface of P^4 as general hyperplane section have degree d=3,... ,7. We study such threefolds X from the point of view of linear systems of surfaces in P^3, looking in each case fosr an explicit description of a birational map from P^3 to X. For d=3,..., 6 we prove that there exists a line L on X such that the projection map of X centered at L is birational; we completely describe the base loci B of the linear systems found in this way and give a description of any such threefold X as a suitable blowing-down of the blowing-up of P^3 along B. If d=7, i.e. if X is a Palatini scroll, we prove that, conversely, a similar projection never exists. | |
| dc.description | 26 pages, to appear on Mathematische Nachrichten | |
| dc.identifier | https://arxiv.org/abs/math/9810057 | |
| dc.identifier | http://arxiv.org/abs/math/9810057 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77527 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C20, 14J30, 14M07, 14M20 | |
| dc.title | On smooth rational threefolds of P^5 with rational non-special hyperplane section | |
| dc.type | text |