paper

On an asymptotic characterisation of Griffiths semipositivity

arXiv:2009.13147 · doi:10.1016/j.bulsci.2021.102956

Abstract

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.

Final version. To appear in Bulletin des Sciences Mathématiques