Caractérisation de l'espace projectif
| dc.creator | Druel, Stéphane | |
| dc.date | 2003-08-22 | |
| dc.date.accessioned | 2026-07-07T05:00:34Z | |
| dc.date.available | 2026-07-07T05:00:34Z | |
| dc.description | The purpose of this paper is to prove the following theorem. Let $X$ be a projective normal variety defined over an algebraically closed field of characteristic zero and let $Ω_{X}^{1}\to L$ be a one-dimensional foliation on $X$. If $L\cdot C<0$ for all curves $C\subset X$ then either the foliation is regular or else $X$ is a cone over a normal projective variety. This strengthens Wahl's well-known cohomological characterization of the projective space and gives a geometric proof of his results. | |
| dc.description | 12 pages, in french | |
| dc.identifier | https://arxiv.org/abs/math/0308212 | |
| dc.identifier | http://arxiv.org/abs/math/0308212 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68366 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Caractérisation de l'espace projectif | |
| dc.type | text |