Singularities vs non-pluripolar Monge--Ampère masses

Fuente: arXiv
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Main Authors: Dang, Quang-Tuan, Do, Hoang-Son, Pham, Hoang Hiep
Format: Preprint
Published: 2025
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author Dang, Quang-Tuan
Do, Hoang-Son
Pham, Hoang Hiep
author_facet Dang, Quang-Tuan
Do, Hoang-Son
Pham, Hoang Hiep
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_07534
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Singularities vs non-pluripolar Monge--Ampère masses
Dang, Quang-Tuan
Do, Hoang-Son
Pham, Hoang Hiep
Complex Variables
32W20, 32U05, 32Q15
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.
title Singularities vs non-pluripolar Monge--Ampère masses
topic Complex Variables
32W20, 32U05, 32Q15
url https://arxiv.org/abs/2503.07534