Families of varieties of general type over compact bases
| dc.creator | Kebekus, Stefan | |
| dc.creator | Kovacs, Sandor | |
| dc.date | 2007-04-19 | |
| dc.date.accessioned | 2026-07-07T07:57:21Z | |
| dc.date.available | 2026-07-07T07:57:21Z | |
| dc.description | Let f: X -> Y be a smooth family of canonically polarized complex varieties over a smooth base. Generalizing the classical Shafarevich hyperbolicity conjecture, Viehweg conjectured that Y is necessarily of log general type if the family has maximal variation. A somewhat stronger and more precise version of Viehweg's conjecture was shown by the authors in arXiv:math/0511378 in the case where Y is a quasi-projective surface. Assuming that the minimal model program holds, this very short paper proves the same result for projective base manifolds Y of arbitrary dimension. | |
| dc.identifier | https://arxiv.org/abs/0704.2556 | |
| dc.identifier | http://arxiv.org/abs/0704.2556 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127619 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D06, 14D22 | |
| dc.title | Families of varieties of general type over compact bases | |
| dc.type | text |