Characterizations of Simple Isolated Line Singularities
Alexandru Zaharia · Canadian Mathematical Bulletin · 1999
Abstract A line singularity is a function germ with a smooth 1-dimensional critical set . An isolated line singularity is defined by the condition that for every x ≠ 0, the germ of f at (x, 0) is equivalent to . Simple isolated line singularities were classified by Dirk Siersma and are analogous of the famous A − D − E singularities. We give two new characterizations of simple isolated line singularities.