Analytical approximations and Monge-Ampère masses of plurisubharmonic singularities

31 Dec 2020 · Chi Li ·

We construct examples of plurisubharmonic functions with isolated singularities at $0\in \mathbb{C}^n$, whose residual Monge-Amp\`{e}re masses at the origin can not be approximated by masses of analytic approximations obtained via multiplier ideals. This answers negatively a conjecture of Demailly.