$q$-Convexity Properties of the Coverings of a Link Singularity

Abstract

We prove that for a germ of normal isolated singularity $(Y,y_0)$ obtained by contracting a curve if the fundamental group of the link singularity is infinite then the universal covering of $Y\setminus\{y_0\}$ can be written as the union of $(n-1)$ Stein open subsets.