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...
| Author: | |
|---|---|
| Format: | article |
| Publication Date: | 1998 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/967 |
| Online Access: | https://hdl.handle.net/2117/967 |
| Access Level: | Open access |
| Keyword: | 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 |
| Summary: | 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. |
|---|