On the slope of fibred threefolds
We study from a geographical point of wiew fibrations of threefolds over smooth curves $f: T \longrightarrow B$ such that the general fibre is of general type. We prove the non-negativity of certain relative invariants under general hypotheses and give lower bounds for $K^3_{T/B}$ depending on other...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1998 |
| 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:2117/967 |
| Acceso en línea: | https://hdl.handle.net/2117/967 |
| Access Level: | acceso abierto |
| Palabra clave: | Geometry, Algebraic Surfaces Fibred threefolds slope relative invariants Fibrats (Matemàtica) Superfícies Varietats (Matemàtica) Classificació AMS::14 Algebraic geometry::14D Families, fibrations Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties |
| Sumario: | We study from a geographical point of wiew fibrations of threefolds over smooth curves $f: T \longrightarrow B$ such that the general fibre is of general type. We prove the non-negativity of certain relative invariants under general hypotheses and give lower bounds for $K^3_{T/B}$ depending on other relative invariants. We also study the influence of the relative irregularity $q(T)-g(B)$ on these bounds. A more detailed study of the lowest cases of the bounds is given. |
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