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arXiv · 2503.07534

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

Quang-Tuan Dang·Hoang-Son Do·Hoang Hiep Pham
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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.

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Quang-Tuan Dang, Hoang-Son Do, Hoang Hiep Pham. 2025-03-10. Singularities vs non-pluripolar Monge--Amp\`{e}re masses. https://doi.org/10.1007/s00209-025-03844-1

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