On certain uniformity properties of curves over function fileds
| dc.creator | Caporaso, Lucia | |
| dc.date | 1999-06-23 | |
| dc.date | 2000-11-06 | |
| dc.date.accessioned | 2026-07-07T05:29:37Z | |
| dc.date.available | 2026-07-07T05:29:37Z | |
| dc.description | Let g be an integer greater than 1. A uniform version of the Parshin-Arakelov theorem on the finiteness of the set of non-isotrivial curves of genus g over a function field, with fixed degeneracy locus, is proved. This is applied to obtain a uniform version of Manin theorem (the Mordell conjecture on rational points for curves of genus g over function fields). By a "function field" is meant the function field of a complex variety V of any dimension. If V is a curve, the uniform bounds will depend on g, on the genus of V and on the cardinality of the degeneracy locus. | |
| dc.description | Improved exposition, added references, to appear on Comp. Math | |
| dc.identifier | https://arxiv.org/abs/math/9906156 | |
| dc.identifier | http://arxiv.org/abs/math/9906156 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78709 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14Dxx | |
| dc.title | On certain uniformity properties of curves over function fileds | |
| dc.type | text |