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dc.contributor.authorBarja Yáñez, Miguel Ángel
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.identifier.citationBarja, M. "Generalized Clifford-Severi inequality and the volume of irregular varieties". 2013.
dc.descriptionPreprint. Acceptat per publicar a Duke Math. J.
dc.description.abstractWe 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.
dc.format.extent21 p.
dc.relation.ispartofseriesarXiv 1303.3045
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica
dc.subject.lcshGeometry, Algebraic
dc.subject.otherSeveri inequality Slope maximal Albanese Varieties Volume
dc.titleGeneralized Clifford-Severi inequality and the volume of irregular varieties
dc.typeExternal research report
dc.subject.lemacGeometria algebraica
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.rights.accessRestricted access - author's decision
local.citation.authorBarja, M.
local.citation.publicationNameGeneralized Clifford-Severi inequality and the volume of irregular varieties

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