Continuity of pluricomplex Green functions with poles along a hypersurface

Authors: Nguyễn Quang Diệu,

https://doi.org/10.1007/BF02383618

Publisher, magazine: ,

Publication year: 2005

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Abstract

The author presents some families of pairs \((\varOmega,A)\) for which the above assumptions hold, and therefore proves the continuity of the Green function in their case. In the last section the author presents two examples of using the methods from the proof of the main theorem to derive explicit formula for the Green function and to study its boundary behaviour.

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