Singularities vs non-pluripolar Monge--Ampère masses
arXiv:2503.07534 · doi:10.1007/s00209-025-03844-1
Abstract
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.
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References in corpus (4)
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- On the singularity type of full mass currents in big cohomology classes
- Log-concavity of volume and complex Monge-Ampère equations with prescribed singularity
- Continuity of Monge-Amp{è}re Potentials in Big Cohomology Classes