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

Complex Variables 2025-03-11 v1

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.

Keywords

Cite

@article{arxiv.2503.07534,
  title  = {Singularities vs non-pluripolar Monge--Amp\`{e}re masses},
  author = {Quang-Tuan Dang and Hoang-Son Do and Hoang Hiep Pham},
  journal= {arXiv preprint arXiv:2503.07534},
  year   = {2025}
}

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R2 v1 2026-06-28T22:14:23.439Z