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On an asymptotic characterisation of Griffiths semipositivity

Complex Variables 2021-01-27 v3 Differential Geometry

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.

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Cite

@article{arxiv.2009.13147,
  title  = {On an asymptotic characterisation of Griffiths semipositivity},
  author = {Apoorva Khare and Vamsi Pritham Pingali},
  journal= {arXiv preprint arXiv:2009.13147},
  year   = {2021}
}

Comments

Final version. To appear in Bulletin des Sciences Math\'ematiques