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arxiv: 2503.07534 · v1 · pith:54ZNNXEXnew · submitted 2025-03-10 · 🧮 math.CV

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

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keywords massesmonge--ampnon-pluripolarcomplexsingularitiesalternativeclosedcompare
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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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