2 papers
math.CV2026
A counterexample to the zero-mass conjecture
Long Li, Mingchen Xia
The authors construct an explicit negative plurisubharmonic function on the unit polydisk whose Monge‑Ampère measure is a Dirac mass at the origin while its Lelong number is zero,…
math.CV2025
On the residual Monge-Ampère mass of plurisubharmonic functions, III: uniformly directional Lipschitz
Weiyong He, Long Li, Xiaowei Xu
The purpose of this article is to study the (residual) Monge-Ampère mass of a plurisubharmonic function with an isolated unbounded locus. A general decomposition formula is obtain…