On an asymptotic characterisation of Griffiths semipositivity

We prove that certain possibly non-smooth Hermitian metrics are Griffiths-semipositively curved if and only if they satisfy an asymptotic extension property. This result answers a question of Deng--Ning--Wang--Zhou in the affirmative.

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Bibliographic Details
Published in:arXiv.org 2021-01
Main Authors: Khare, Apoorva, Pingali, Vamsi Pritham
Format: Article
Language:English
Subjects:
Asymptotic properties
Online Access:Get full text
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Description
Summary:We prove that certain possibly non-smooth Hermitian metrics are Griffiths-semipositively curved if and only if they satisfy an asymptotic extension property. This result answers a question of Deng--Ning--Wang--Zhou in the affirmative.
ISSN:2331-8422
DOI:10.48550/arxiv.2009.13147