Topological invariants of higher order for a pair of plane curve germs (Q697615)

Consider a finite germ of an analytic map \((g,f):({\mathbb C}^2,0) \rightarrow ({\mathbb C}^2,0)\). The discriminant \(\Delta\) of this map is a plane curve singularity. Let \(\delta\) be a branch of \(\Delta\), and \((p_\delta,q_\delta)\) be the first Puiseux pair of the branch. In a previous paper, the author proved that the \(p_\delta/q_\delta\), called the Jacobian quotients, are topological invariants of the map \((g,f)\). The present paper is concerned with the computation of these topological invariants. She gives three different methods for the computation.