Zero Lelong number problem
Alexander Rashkovskii
TL;DR
This paper explores the residual Monge-Ampère masses of plurisubharmonic functions, addressing related problems and providing insights into the Zero Lelong number problem within complex analysis.
Contribution
It offers new perspectives and results on the Zero Lelong number problem and residual Monge-Ampère masses in pluripotential theory.
Findings
Identifies key properties of residual Monge-Ampère masses
Provides partial solutions to the Zero Lelong number problem
Highlights open questions in pluripotential theory
Abstract
We discuss several related problems on residual Monge-Amp\`ere masses of plurisubharmonic functions. The note is based on the author's talk at the 27th Congress of Nordic Mathematicians, March 19, 2016.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Advanced Algebra and Geometry