Finite Dehn surgery along A'Campo's divide knots

Abstract

We give two geometric methods of constructing plane curves giving cable knots of torus knots via A'Campo's divide knot theory, related to both singularity theory and knot theory. We point out a relationship between "area" of the plane curves and the coefficients of finite Dehn surgery, which is Dehn surgery yielding three-dimensional manifolds with finite fundamental group.