Families of canonically polarized varieties over surfaces
| dc.creator | Kebekus, Stefan | |
| dc.creator | Kovacs, Sandor J. | |
| dc.date | 2005-11-15 | |
| dc.date | 2006-09-07 | |
| dc.date.accessioned | 2026-07-07T06:51:16Z | |
| dc.date.available | 2026-07-07T06:51:16Z | |
| dc.description | Shafarevich's hyperbolicity conjecture asserts that a family of curves over a quasi-projective 1-dimensional base is isotrivial unless the logarithmic Kodaira dimension of the base is positive. More generally it has been conjectured by Viehweg that the base of a smooth family of canonically polarized varieties is of log general type if the family is of maximal variation. In this paper, we relate the variation of a family to the logarithmic Kodaira dimension of the base and give an affirmative answer to Viehweg's conjecture for families parametrized by surfaces. | |
| dc.description | final version, to appear in Invent. Math. A rather minor issue in construction 6.10 and a typo has been fixed | |
| dc.identifier | https://arxiv.org/abs/math/0511378 | |
| dc.identifier | http://arxiv.org/abs/math/0511378 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104931 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D20, 14D22 | |
| dc.title | Families of canonically polarized varieties over surfaces | |
| dc.type | text |