Generalized Clifford-Severi inequality and the volume of irregular varieties

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Title:	Generalized Clifford-Severi inequality and the volume of irregular varieties
Author:	Barja Yáñez, Miguel Ángel
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:	Preprint. Acceptat per publicar a Duke Math. J.
Abstract:	We give a sharp lower bound for the selfintersection of a nef li ne bundle L on an irregular variety X in terms of its continuous global sections and the Albanese dim ension of X, which we call the Generalized Clifford-Severi inequality. We also extend the result to nef vector bundles and give a slope inequality for fibred irregular varieties. As a byproduct we obtain a lower b ound for the volume of irregular varieties; when X is of maximal Albanese dimension the bound is vol(X)=2n!¿¿X and it is sharp.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica -Geometry, Algebraic -Severi inequality Slope maximal Albanese Varieties Volume -Geometria algebraica
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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