A note on the very ampleness of complete linear systems on blowings-up of P^3
| dc.creator | De Volder, Cindy | |
| dc.creator | Laface, Antonio | |
| dc.date | 2004-09-27 | |
| dc.date.accessioned | 2026-07-07T05:12:38Z | |
| dc.date.available | 2026-07-07T05:12:38Z | |
| dc.description | In this note we consider the blowing-up X of P^3 along r general points of the anticanonical divisor of a smooth quadric in P^3. Given a complete linear system |L| = |dH - m_1 E_1 -...- m_r E_r| on X, with H the pull-back of a plane in P^3 and E_i the exceptional divisor corresponding to P_i, we give necessary and sufficient conditions for the very ampleness (resp. base point freeness and non-speciality) of L. As a corollary we obtain a sufficient condition for the very ampleness of such a complete linear system on the blowing-up of P^3 along r general points. | |
| dc.description | 6 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0409526 | |
| dc.identifier | http://arxiv.org/abs/math/0409526 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72647 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C20 | |
| dc.title | A note on the very ampleness of complete linear systems on blowings-up of P^3 | |
| dc.type | text |