Irregular manifolds with a canonical linear system, composite with a pencil
| dc.creator | Cai, Jin-Xing | |
| dc.creator | Viehweg, Eckart | |
| dc.date | 2003-03-17 | |
| dc.date.accessioned | 2026-07-07T04:56:06Z | |
| dc.date.available | 2026-07-07T04:56:06Z | |
| dc.description | Let X be a complex projective n-dimensional manifold of general type, whose canonical system is composite with a pencil. If the Albanese map is generically finite, but not surjective, or if the irregularity is strictly larger than n and the image of X in its Albanese variety of Kodaira dimension one, then the geometric genus of a general fibre of the canonical map is one and the latter factors through the Albanese map. The last part of this result holds true for any threefold with irregularity 5 or larger. | |
| dc.description | 11 pages, AMSLaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0303196 | |
| dc.identifier | http://arxiv.org/abs/math/0303196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66803 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 14J10 (Primary); 14J30, 14J40 (Secondary) | |
| dc.title | Irregular manifolds with a canonical linear system, composite with a pencil | |
| dc.type | text |