A remark on equisingular approximations of quasi-plurisubharmonic functions

TL;DR

This paper discusses methods for approximating quasi-plurisubharmonic functions on compact complex manifolds while preserving their analytic pluripolar sets, contributing to complex analysis and geometry.

Contribution

It introduces global equisingular approximation techniques that maintain stable analytic pluripolar sets, advancing the understanding of quasi-plurisubharmonic functions.

Findings

Established global equisingular approximation methods

Preserved stability of analytic pluripolar sets

Enhanced tools for complex geometric analysis

Abstract

In this note, we will present global equisingular approximations of quasi-plurisubharmonic functions with stable analytic pluripolar sets on compact complex manifolds.