On the slope of bielliptic fibrations
Let $\pi :S\longrightarrow B$ be a bielliptic fibration. We prove $S$ is, up to base change, a rational double cover of an elliptic fibration and that $\pi $ is isotrivial provided it is smooth. Finally, we prove that the slope of $\pi $ is at least four provided the genus of the fibre is at least s...
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| Formato: | artículo |
| Fecha de publicación: | 1997 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/856 |
| Acesso em linha: | https://hdl.handle.net/2117/856 |
| Access Level: | acceso abierto |
| Palavra-chave: | Curves Fibrats (Matemàtica) Corbes Classificació AMS::14 Algebraic geometry::14H Curves Classificació AMS::14 Algebraic geometry::14D Families, fibrations Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties |
| Resumo: | Let $\pi :S\longrightarrow B$ be a bielliptic fibration. We prove $S$ is, up to base change, a rational double cover of an elliptic fibration and that $\pi $ is isotrivial provided it is smooth. Finally, we prove that the slope of $\pi $ is at least four provided the genus of the fibre is at least six. |
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