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Locally pluripolar sets are pluripolar

Mathematical Institute, University of Cologne, Weyertal 86-90, 50931 Köln, Germany

Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

Thang Long Institute of Mathematics and Applied Sciences, Nghiem Xuan Yem, Hoang Mai, Hanoi, Vietnam

E-mail Address: vuduc@math.uni-koeln.de

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https://doi.org/10.1142/S0129167X19500290Cited by:2 (Source: Crossref)

This article is part of the issue:

Special Issue on Geometric Analysis and General Relativity

Abstract

We prove that every locally pluripolar set on a compact complex manifold is pluripolar. This extends similar results in the Kähler case.

Keywords:

AMSC: 32W20, 32U40

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