Cluster points of jumping coefficients and equisingularties of plurisubharmonic functions

TL;DR

This paper constructs a plurisubharmonic function with a cluster point of jumping coefficients and identifies classes of such functions that cannot be equisingular to those with generalized analytic singularities.

Contribution

It introduces new examples of plurisubharmonic functions with cluster points of jumping coefficients and characterizes functions that cannot be equisingular to those with analytic singularities.

Findings

Constructed a plurisubharmonic function with a cluster point of jumping coefficients

Identified classes of plurisubharmonic functions not equisingular to those with generalized analytic singularities

Abstract

In this article, we will construct a plurisubharmonic function whose jumping coefficients have a cluster point. We also give a class of plurisubharmonic functions which cannot be equisingular to any plurisubharmonic function with generalized analytic singularities.