Singularities vs non-pluripolar Monge--Ampère masses

Published 10 Mar 2025 in math.CV | (2503.07534v1)

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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