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Singularities vs non-pluripolar Monge--Ampère masses

2025/03/10 by Dang, Quang-Tuan, Do, Hoang-Son, Pham, Hoang Hiep
#32Q15 #32U05 #32W20 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.07534

Abstract

The aim of this paper is to compare singularities of closed positive currents whose non-pluripolar complex Monge--Ampère masses equal. We also provide a short alternative proof for the monotonicity of non-pluripolar complex Monge--Ampère masses, generalizing results of Witt-Nyström, Darvas--Di Nezza--Lu, Lu--Nguyên and Vu.

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