Varietes faiblement speciales a courbes entieres degenerees
| dc.creator | Campana, Frederic | |
| dc.creator | Paun, Mihai | |
| dc.date | 2005-12-06 | |
| dc.date | 2006-07-09 | |
| dc.date.accessioned | 2026-07-07T06:54:54Z | |
| dc.date.available | 2026-07-07T06:54:54Z | |
| dc.description | We show that certain non-special but weakly special threefolds $X$ constructed by Bogomolov-Tschinkel enjoy strong complex hyperbolicity properties: their entire curves are algebraically degenerate and lie either on a fixed divisor or on the fiber of the unique elliptic fibration on $X$. These properties are consistent with the conjectural link between hyperbolicity and arithmetics of projective manifolds. The arithmetic counterpart of this hyperbolicity property (the non-potential density of $X$, object of two conflicting conjectures) remains however open. | |
| dc.description | 17 pages, second version corrects some typographical errors and provide some details concerning the last part of the proof | |
| dc.identifier | https://arxiv.org/abs/math/0512124 | |
| dc.identifier | http://arxiv.org/abs/math/0512124 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106108 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.title | Varietes faiblement speciales a courbes entieres degenerees | |
| dc.type | text |