3 papers
math.CV2026
A counterexample to the zero-mass conjecture
Long Li, Mingchen Xia
We construct an explicit negative plurisubharmonic function on the unit polydisk in with an isolated singularity at the origin. Its Monge-Ampère measure is…
math.CV2024
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 obtaine…
math.CV2023
On the residual Monge-Ampère mass of plurisubharmonic functions with symmetry, II
Weiyong He, Long Li, Xiaowei Xu
The aim of this article is to study the residual Monge-Ampère mass of a plurisubharmonic function with an isolated singularity, provided with the circular symmetry. With the aid of…