Geometric stability of the cotangent bundle and the universal cover of a projective manifold
| dc.creator | Campana, Frederic | |
| dc.creator | Peternell, Thomas | |
| dc.creator | Toma, Matei | |
| dc.date | 2004-05-06 | |
| dc.date | 2007-11-12 | |
| dc.date.accessioned | 2026-07-07T12:50:36Z | |
| dc.date.available | 2026-07-07T12:50:36Z | |
| dc.description | Consider a projective manifold X and suppose that some wedge power of the cotangent bundle contains a subsheaf whose determinant bundle has maximal Kodaira dimension. Then we prove that X is of general type. More generally we compute the Kodaira dimension if the determinant bundle has sufficiently large Kodaira dimension. This is based on the study of the determinant bundle of a quotient of the cotangent bundle of a non-uniruled manifold: this bundle is always pseudo-effective. We apply this to study the universal cover of a projective manifold. Finally we prove the following: if the canonical bundle is numerically equivalent to an effective Q-divisor, then the Kodaira dimension is non-negative. | |
| dc.description | Latex, 29 pages, appendix by Matei Toma added; rest unchanged | |
| dc.identifier | https://arxiv.org/abs/math/0405093 | |
| dc.identifier | http://arxiv.org/abs/math/0405093 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222731 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E20;14E30 | |
| dc.title | Geometric stability of the cotangent bundle and the universal cover of a projective manifold | |
| dc.type | text |