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On compact subsets possessing strictly plurisubharmonic functions
Izvestiya: Mathematics ( IF 0.8 ) Pub Date : 2021-07-02 , DOI: 10.1070/im9059 N. V. Shcherbina 1
中文翻译:
关于具有严格多次谐波函数的紧子集
更新日期:2021-07-02
Izvestiya: Mathematics ( IF 0.8 ) Pub Date : 2021-07-02 , DOI: 10.1070/im9059 N. V. Shcherbina 1
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We give a geometric condition on a compact subset of a complex manifold which is necessary and sufficient for the existence of a smooth strictly plurisubharmonic function defined in a neighbourhood of this set.
中文翻译:
关于具有严格多次谐波函数的紧子集
我们给出了一个复杂流形的紧凑子集的几何条件,该条件对于在该集合的邻域中定义的平滑严格多次谐波函数的存在是必要和充分的。