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Cluster points of jumping coefficients and equisingularities of plurisubharmonic functions
Asian Journal of Mathematics ( IF 0.5 ) Pub Date : 2020-08-01 , DOI: 10.4310/ajm.2020.v24.n4.a4
Qi’an Guan 1 , Zhenqian Li 2
Affiliation  

In this article, we will construct a plurisubharmonic function whose jumping coefficients have a cluster point. We also give a class of plurisubharmonic functions which cannot be “strongly equisingular” to any plurisubharmonic function with generalized analytic singularities and present global equisingular approximations of quasi-plurisubharmonic functions with stable analytic pluripolar sets on compact complex manifolds.

中文翻译:

跳跃系数的群点和多重次谐波函数的等式

在本文中,我们将构建一个跳跃次谐波函数,其跳跃系数具有一个聚类点。我们还给出了一类亚次谐波函数,它不能与具有广义解析奇点的任何一个亚次谐波函数“强等式”,并且给出了在紧致复流形上具有稳定解析多极集的拟-次亚谐波函数的全局等式近似。
更新日期:2020-08-01
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