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counterexample 1lelong number 1monge-ampere measure 1plurisubharmonic functions 1zero-mass conjecture 1

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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,…