Abstract
In this paper, we give complex geometric descriptions of the notions of algebraic geometric positivity of vector bundles and torsion-free coherent sheaves, such as nef, big, pseudo-effective, and weakly positive, by using singular hermitian metrics. As an application, we obtain a generalization of Mori’s result. We also give a characterization of the augmented base locus by using singular hermitian metrics on vector bundles and the Lelong numbers.
Citation
Masataka Iwai. "Characterization of Pseudo-Effective Vector Bundles by Singular Hermitian Metrics." Michigan Math. J. 71 (3) 579 - 599, August 2022. https://doi.org/10.1307/mmj/20195833
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