Higher-dimensional Clifford-Severi equalities

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Title:	Higher-dimensional Clifford-Severi equalities
Author:	Barja Yáñez, Miguel Ángel; Pardini, Rita; Stoppino, Lidia
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
Abstract:	Abstract.LetXbe a smooth complex projective variety,a:X¿Aa mor-phism to an abelian variety such that Pic0(A) injects into Pic0(X) and letLbe a line bundle onX; denote byh0a(X,L) the minimum ofh0(X,L¿a*a) fora¿Pic0(A). The so-called Clifford-Severi inequalities have been proven in [2]and [5]; in particular, for anyLthere is a lower bound for the volume givenby:vol(L)=n!h0a(X,L),and, ifKX-Lis pseudoeffective,vol(L)=2n!h0a(X,L).In this paper we characterize varieties and line bundles for which the aboveClifford-Severi inequalities are equalities
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Algebraic geometry -Irregular varieties -Birational classification -Clifford–Severi inequalities -Geometria algebraica -Classificació AMS::14 Algebraic geometry::14C Cycles and subschemes -Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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