Une généralisation du théorème de Kobayashi-Ochiai
| dc.creator | Campana, Frederic | |
| dc.creator | Paun, Mihai | |
| dc.date | 2005-06-18 | |
| dc.date | 2005-06-27 | |
| dc.date.accessioned | 2026-07-07T05:20:50Z | |
| dc.date.available | 2026-07-07T05:20:50Z | |
| dc.description | Let $ϕ:\Bbb C^n\to X$ a holomorphic map to an $n$-dimensional connected compact complex manifold $X$. We establish links between the positivity properties of the canonical bundle of $X$ and the rate of growth of $ϕ$ which extend results of Kodaira and Kobayashi-Ochiai. For example: if the average degree of $ϕ$ on balls of radius $r$ grows slowlier than $r^{2n}$, then $K_X$ is not pseudo-effective. If $X$ is moreover projective, it is uniruled. Assuming now that $K_X$ is pseudoeffective, of numerical dimension $ν$, we show that the characteristic function of $ϕ$ grows at least as fast as $r^{((2n)/(n-ν))}$. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0506366 | |
| dc.identifier | http://arxiv.org/abs/math/0506366 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75524 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 14, 32 | |
| dc.title | Une généralisation du théorème de Kobayashi-Ochiai | |
| dc.type | text |