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2021 Characterization of Pseudo-Effective Vector Bundles by Singular Hermitian Metrics
Masataka Iwai
Michigan Math. J. Advance Publication 1-21 (2021). DOI: 10.1307/mmj/20195833

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.

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Masataka Iwai. "Characterization of Pseudo-Effective Vector Bundles by Singular Hermitian Metrics." Michigan Math. J. Advance Publication 1 - 21, 2021. https://doi.org/10.1307/mmj/20195833

Information

Received: 2 December 2019; Revised: 8 December 2020; Published: 2021
First available in Project Euclid: 7 April 2021

Digital Object Identifier: 10.1307/mmj/20195833

Subjects:
Primary: 32J25
Secondary: 14E30, 14J60

Rights: Copyright © 2021 The University of Michigan

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