paper

Analytical approximations and Monge-Ampère masses of plurisubharmonic singularities

arXiv:2012.15599

Abstract

We construct examples of plurisubharmonic functions with isolated singularities at , whose residual Monge-Ampère masses at the origin can not be approximated by masses of analytic approximations obtained via multiplier ideals. This answers negatively a conjecture of Demailly.

15 pages, point out that residual complex Monge-Ampere masses are not valuative invariants. Comments welcome

References in corpus (1)