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- W2028124324 abstract "We prove two formulae which express the Alexander polynomial $Delta^C$ 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 $Delta^C$ in terms of dimensions of some factors corresponding to a (multi-indexed) filtration on the ring ${cal O}_{C}$. The other one gives the coefficients of the Alexander polynomial $Delta^C$ as Euler characteristics of some explicitly described spaces (complements to arrangements of projective hyperplanes). The final version of this article will be published in the Duke Mathematical Journal." @default.
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- W2028124324 date "2002-05-10" @default.
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- W2028124324 title "The Alexander polynomial of a plane curve singularity via the ring of functions on it" @default.
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