Zariski equisingularity of surface singularities in ${\mathbb{C}}^3$ by a local invariant

Adam Parusiński, Laurenţiu Păunescu

We associate to every analytic surface singularity $(V,0)$ in $({\mathbb{C}}^3,0)$, not necessarily isolated, an invariant $mul{t}^{\ast }(V)$ and show that an analytic family of such singul…