Name: On the slope of fibred threefolds
Creator: Barja Yáñez, Miguel Ángel
Keywords: relative invariants, Classificació AMS::14 Algebraic geometry::14D Families, fibrations, Fibred threefolds, Varietats (Matemàtica), Geometry, :14 Algebraic geometry::14J Surfaces and higher-dimensional varieties [Classificació AMS], Superfícies, Geometry, Algebraic, Surfaces, Algebraic

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1998 English

Authors: Barja Yáñez, Miguel Ángel;

handle: 2117/967

On the slope of fibred threefolds

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Abstract

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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relative invariants, Classificació AMS::14 Algebraic geometry::14D Families, fibrations, Fibred threefolds, Varietats (Matemàtica), Geometry, :14 Algebraic geometry::14J Surfaces and higher-dimensional varieties [Classificació AMS], Superfícies, Geometry, Algebraic, Surfaces, Algebraic, Fibrats (Matemàtica), Classificació AMS::14 Algebraic geometry::14D Families, :14 Algebraic geometry::14D Families, fibrations [Classificació AMS], slope, fibrations, Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties

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