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:Bulletin des sciences mathématiques 2021-03, Vol.167, p.102956, Article 102956
Main Authors: Khare, Apoorva, Pingali, Vamsi Pritham
Format: Article
Language:English
Subjects:
Griffiths positivity
Nakano positivity
Ohsawa–Takegoshi extension theorem
Singular Hermitian metric
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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:0007-4497
1952-4773
DOI:10.1016/j.bulsci.2021.102956