Generalized Clifford-Severi inequality and the volume of irregular varieties
Document typeExternal research report
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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.
Preprint. Acceptat per publicar a Duke Math. J.
CitationBarja, M. "Generalized Clifford-Severi inequality and the volume of irregular varieties". 2013.
Is part ofarXiv 1303.3045