On smooth surfaces in P4 containing a plane curve
| dc.creator | Ellia, Ph. | |
| dc.creator | Folegatti, C. | |
| dc.date | 2003-10-31 | |
| dc.date | 2004-06-08 | |
| dc.date.accessioned | 2026-07-07T05:02:24Z | |
| dc.date.available | 2026-07-07T05:02:24Z | |
| dc.description | We consider smooth surfaces $S \subset \Pq$ containing a plane curve $P$ and prove some general result concerning the linear system $|H-P|$. We then look at regular surfaces lying on hypersurfaces of degree $s$ having a plane of multiplicity $(s-2)$. This implies that $S$ contains a plane curve. We prove that the degree of such surfaces is bounded and for $s=4$ we compute an actual bound. | |
| dc.description | 10 pages. The content has been replaced since there was an error in the proof of the main theorem | |
| dc.identifier | https://arxiv.org/abs/math/0310486 | |
| dc.identifier | http://arxiv.org/abs/math/0310486 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69036 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J10 | |
| dc.title | On smooth surfaces in P4 containing a plane curve | |
| dc.type | text |