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arXiv · 1809.10371

New characterizations of plurisubharmonic functions and positivity of direct image sheaves

Fusheng Deng·Zhiwei Wang·Liyou Zhang·Xiangyu Zhou
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Abstract

We give new characterizations of plurisubharmonic functions and Griffiths positivity of holomorphic vector bundles with singular Finsler metrics. As applications, we present a different method to prove plurisubharmonic variation of generalized Bergman kernel metrics and Griffiths positivity of the direct images of twisted relative canonical bundles associated to holomorphic families of K\"ahler manifolds.

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Fusheng Deng, Zhiwei Wang, Liyou Zhang, Xiangyu Zhou. 2018-09-27. New characterizations of plurisubharmonic functions and positivity of direct image sheaves. https://arxiv.org/abs/1809.10371

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