On the Brody hyperbolicity of moduli spaces for canonically polarized manifolds
| dc.creator | Viehweg, Eckart | |
| dc.creator | Zuo, Kang | |
| dc.date | 2000-12-31 | |
| dc.date | 2003-03-08 | |
| dc.date.accessioned | 2026-07-07T04:39:27Z | |
| dc.date.available | 2026-07-07T04:39:27Z | |
| dc.description | Consider the moduli functor of canonically polarized complex manifolds with Hilbert polynomial h, and let M_h be the corresponding coarse quasi-projective moduli scheme. We show that M_h is Brody hyperbolic in the following sense: Assume that for some quasi-projective variety U there exists a morphism U --> M_h, quasi-finite over its image, which is induced by a family f: V --> U, belonging to the moduli problem. Then all holomorphic maps from the complex plane to U are constant. | |
| dc.description | 36 pages, Latex (4. version): References changed; proof of 5.5 reformulated | |
| dc.identifier | https://arxiv.org/abs/math/0101004 | |
| dc.identifier | http://arxiv.org/abs/math/0101004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60668 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 14J10 (Primary) 32Q45, 14D07 (Secondary) | |
| dc.title | On the Brody hyperbolicity of moduli spaces for canonically polarized manifolds | |
| dc.type | text |