On the slope of fibred surfaces
We give an asymptotically sharp lower bound for the slope $\lambda (f)$ of a fibration $f:S\longrightarrow B$, where $S$ is a surface and $B$ is a curve, if there exists an involution on the general fibre $F$ of $f$. We also construct a new lower bound of $\lambda (f)$ depending increasingly on the...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2000 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositório: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglês |
| OAI Identifier: | oai:upcommons.upc.edu:2117/815 |
| Acesso em linha: | https://hdl.handle.net/2117/815 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Geometry, Algebraic Surfaces fibred surfaces Fibrats (Matemàtica) Superfícies Varietats (Matemàtica) Classificació AMS::14 Algebraic geometry::14D Families, fibrations Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties |
| Resumo: | We give an asymptotically sharp lower bound for the slope $\lambda (f)$ of a fibration $f:S\longrightarrow B$, where $S$ is a surface and $B$ is a curve, if there exists an involution on the general fibre $F$ of $f$. We also construct a new lower bound of $\lambda (f)$ depending increasingly on the irregularity of $S$; as an application of this new bound we have a criteria to control the existence of other fibrations on $S$. |
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