Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/35132
Title: On the Slope and Geography of Fibred Surfaces and Threefolds.
Author: Barja Yáñez, Miguel Ángel
Director: Naranjo del Val, Juan Carlos
Keywords: Superfícies fibrades
Geometria
Issue Date: 21-Dec-1998
Publisher: Universitat de Barcelona
Abstract: [eng] In this tesis we study numerical propieties of surfaces and threefolds, mainly fibred over curves, the so called "slope" of the fibration. We prove partially a conjecture of Fujita on the semiampleness of the direct image of the relative dualizing sheaf of a fibration. We give new lower bounds of the slope of a fibred surface depending on data of the general fibre (existence of involutions) and on data of the hole surface (the fibration not being the Albanese morphism, for example). We study the case of threefolds over curves. We prove that, in general, the relative algebraic Euler characteristic is nonnegative and give lower bound for the slope. We classify the lowest cases of the invariants.
URI: http://hdl.handle.net/2445/35132
ISBN: 8447526143
Appears in Collections:Tesis Doctorals - Departament - Algebra i Geometria

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