2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58646We give two formulae which express the Alexander polynomial $Δ^C$ of several variables of a plane curve singularity $C$ in terms of the ring ${\cal O}_{C}$ of germs of analytic functions on the curve. One of them expresses $Δ^C$ in terms of dimensions of some factorspaces corresponding to a (multi-indexed) filtration on the ring ${\cal O}_{C}$. The other one gives the coefficients of the Alexander polynomial $Δ^C$ as Euler characteristics of some explicitly described spaces (complements to arrangements of projective hyperplanes).5 pages, LaTeXAlgebraic GeometryGeometric Topology32S05; 14H20text