Ample subvarieties and rationally connected fibrations
| dc.creator | Beltrametti, Mauro C. | |
| dc.creator | de Fernex, Tommaso | |
| dc.creator | Lanteri, Antonio | |
| dc.date | 2007-04-04 | |
| dc.date | 2008-03-05 | |
| dc.date.accessioned | 2026-07-07T09:24:42Z | |
| dc.date.available | 2026-07-07T09:24:42Z | |
| dc.description | Under some positivity assumptions, extension properties of rationally connected fibrations from a submanifold to its ambient variety are studied. Given a family of rational curves on a complex projective manifold X inducing a covering family on a submanifold Y with ample normal bundle in X, the main results relate, under suitable conditions, the associated rational connected fiber structures on X and on Y. Applications of these results include an extension theorem for Mori contractions of fiber type and a classification theorem in the case Y has a structure of projective bundle or quadric fibration. | |
| dc.description | 27 pages; v2: minor changes and corrections following the referee's comments. v3: few typos corrected. To appear in Math. Ann | |
| dc.identifier | https://arxiv.org/abs/0704.0661 | |
| dc.identifier | http://arxiv.org/abs/0704.0661 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156160 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D06, 14J10 (Primary) 14C05, 14J40, 14N30 (Secondary) | |
| dc.title | Ample subvarieties and rationally connected fibrations | |
| dc.type | text |