Xiao's conjuecture for general fibred surfaces

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Title:	Xiao's conjuecture for general fibred surfaces
Author:	Barja Yáñez, Miguel Ángel; González Alonso, Víctor; Naranjo del Val, Joan Carles
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	Prerpint
Abstract:	We prove that the genus g, the relative irregularity q_f and the Clifford index c_f of a non-isotrivial fibration f satisfy the inequality q_f=g-c_f. This gives in particular a proof of Xiao’s conjecture for fibrations whose general fibres have maximal Clifford index.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Surfaces, Algebraic -Fibration Slope Xiao's conjecture Clifford Index -Superfícies algebraiques
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Draft Report
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