Singularities vs non-pluripolar Monge--Amp\`{e}re masses

The aim of this paper is to compare singularities of closed positive currents whose non-pluripolar complex Monge--Amp\`ere masses equal. We also provide a short alternative proof for the monotonicity of non-pluripolar complex Monge--Amp\`ere masses, generalizing results of Witt-Nystr"om, Darvas--Di Nezza--Lu, Lu--Nguy\^en and Vu.

Publication Details

Journal
ArXiv.org
Published
2025-03-10
Primary Topic
Geometry and complex manifolds
Type
article
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article

Singularities vs non-pluripolar Monge--Amp\`{e}re masses

ArXiv.org
Geometry and complex manifolds
article

Singularities vs non-pluripolar Monge--Amp\`{e}re masses

article en

Abstract

The aim of this paper is to compare singularities of closed positive currents whose non-pluripolar complex Monge--Amp\`ere masses equal. We also provide a short alternative proof for the monotonicity of non-pluripolar complex Monge--Amp\`ere masses, generalizing results of Witt-Nystr\"om, Darvas--Di Nezza--Lu, Lu--Nguy\^en and Vu.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 43%
Geometry and complex manifolds
Open Access PDFOpenAlex
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Singularities vs non-pluripolar Monge--Amp\`{e}re masses · ArXiv.org (2025) | TGRS Research Map | TGRS