Abstract
AbstractLet be a set of irreducible plane curve singularities. For an action of a finite group G, let be the Alexander polynomial in variables of the algebraic link and let with identical variables in each group. (If , is the monodromy zeta function of the function germ , where is an equation defining the curve C1.) We prove that determines the topological type of the link L. We prove an analogous statement for plane divisorial valuations formulated in terms of the Poincaré series of a set of valuations.
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