The Alexander polynomial of a plane curve singularity via the ring of functions on it

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dc.creatorCampillo, A.
dc.creatorDelgado, F.
dc.creatorGusein-Zade, S. M.
dc.date2002-05-10
dc.date.accessioned2026-07-07T04:48:24Z
dc.date.available2026-07-07T04:48:24Z
dc.descriptionWe prove 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 factors 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). The final version of this article will be published in the Duke Mathematical Journal.
dc.identifierhttps://arxiv.org/abs/math/0205111
dc.identifierhttp://arxiv.org/abs/math/0205111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64037
dc.subjectAlgebraic Geometry
dc.subject14H20, 32Sxx
dc.titleThe Alexander polynomial of a plane curve singularity via the ring of functions on it
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