Extension of maps defined on many fibres
Let S be a fibred surface. We prove that the existence of morphisms from non countably many fibres to curves implies, up to base change, the existence of a rational map from S to another surface fibred over the same base reflecting the properties of the original morphisms. Under some conditions of u...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1997 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/984 |
| Acceso en línea: | https://hdl.handle.net/2117/984 |
| Access Level: | acceso abierto |
| Palabra clave: | Geometry, Algebraic Curves fibres Cicles Corbes Classificació AMS::14 Algebraic geometry::14H Curves Classificació AMS::14 Algebraic geometry::14C Cycles and subschemes |
| Sumario: | Let S be a fibred surface. We prove that the existence of morphisms from non countably many fibres to curves implies, up to base change, the existence of a rational map from S to another surface fibred over the same base reflecting the properties of the original morphisms. Under some conditions of unicity base change is not needed and one recovers exactly the initial maps. |
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