Abstract
We give a sharp lower bound for the self-intersection of a nef line bundle on an irregular variety in terms of its continuous global sections and the Albanese dimension of , which we call the generalized Clifford–Severi inequality. We also extend the result to nef vector bundles and give a slope inequality for fibered irregular varieties. As a by-product we obtain a lower bound for the volume of irregular varieties; when is of maximal Albanese dimension the bound is and it is sharp.
Citation
Miguel A. Barja. "Generalized Clifford–Severi inequality and the volume of irregular varieties." Duke Math. J. 164 (3) 541 - 568, 15 February 2015. https://doi.org/10.1215/00127094-2871306
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