On Zariski's multiplicity conjecture

TL;DR

This paper explores Zariski's multiplicity conjecture, focusing on the application of A'Campo's work on monodromy zeta functions of isolated hypersurface singularities to address the problem.

Contribution

It applies A'Campo's results on monodromy zeta functions to gain new insights into Zariski's multiplicity conjecture.

Findings

Insights into the relationship between monodromy zeta functions and multiplicity

Potential progress towards resolving Zariski's conjecture

Application of complex hypersurface singularity theory

Abstract

We discuss some features of the so-called Zariski's multiplicity problem especially the application of the work of A'Campo on the zeta function of a monodromy of an isolated singularity of a complex hypersurface to the problem.