2026/07/29 by Long Li, Mingchen Xia
Mathematics · #math.CV
arxiv created 2026/07/29 · arxiv updated 2026/07/30
We construct an explicit negative plurisubharmonic function on the unit polydisk in ℂn, n≥ 2 with an isolated singularity at the origin. Its Monge-Ampère measure is the Dirac mass at the origin, but its Lelong number vanishes. This gives a negative answer to the zero-mass conjecture of Guedj-Rashkovskii in every complex dimension at least two.