On the Frobenius integrability of certain holomorphic p-forms
| dc.creator | Demailly, Jean-Pierre | |
| dc.date | 2000-04-11 | |
| dc.date | 2000-05-01 | |
| dc.date.accessioned | 2026-07-07T04:34:42Z | |
| dc.date.available | 2026-07-07T04:34:42Z | |
| dc.description | The goal of this note is to exhibit the integrability properties (in the sense of the Frobenius theorem) of holomorphic p-forms with values in certain line bundles with seminegative curvature on a compact Kaehler manifold. There are in fact very strong restrictions, both on the holomorphic form and on the curvature of the seminegative line bundle. As a consequence, these observations provide interesting information on the structure of projective manifolds which admit a contact structure: either they are Fano manifolds or, thanks to results of Kebekus-Peternell-Sommese-Wisniewski, they are biholomorphic to the projectivization of the cotangent bundle of another suitable projective manifold. | |
| dc.description | 5 pages, Plain-TeX (reason for resubmission: 2 references added) | |
| dc.identifier | https://arxiv.org/abs/math/0004067 | |
| dc.identifier | http://arxiv.org/abs/math/0004067 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59006 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14B05, 14J45, 32C17, 32J25, 32S05 | |
| dc.title | On the Frobenius integrability of certain holomorphic p-forms | |
| dc.type | text |