New characterizations of plurisubharmonic functions and positivity of direct image sheaves
New characterizations of plurisubharmonic functions and positivity of direct image sheaves
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发表时间：
2018-09
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通讯作者：
F. Deng;Zhiwei Wang;Liyou Zhang;Xiangyu Zhou
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作者：
F. Deng;Zhiwei Wang;Liyou Zhang;Xiangyu Zhou
给出了具有奇异Finsler度量的全纯向量丛的多重次调和函数和Griffiths正性的新刻画。作为应用，我们给出了一种不同的方法，证明了广义Bergman核度量的多重次调和变差和全纯K“ahler流形族的扭曲相对正则丛的直象的Griffiths正性.
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.