Integration with respect to Euler characteristic over the projectivization of the space of functions and the Alexander polynomial of a plane curve singularity

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dc.creatorCampillo, A.
dc.creatorDelgado, F.
dc.creatorGusein-Zade, S. M.
dc.date2000-05-22
dc.date.accessioned2026-07-07T04:35:25Z
dc.date.available2026-07-07T04:35:25Z
dc.descriptionWe discuss a notion of integration with respect to the Euler characteristic in the projectivization $¶{\cal O}_{\C^n,0}$ of the ring ${\cal O}_{\C^n,0}$ of germs of functions on $C^n$ and show that the Alexander polynomial and the zeta-function of a plane curve singularity can be expressed as certain integrals over $¶{\cal O}_{\C^2,0}$ with respect to the Euler characteristic.
dc.identifierhttps://arxiv.org/abs/math/0005206
dc.identifierhttp://arxiv.org/abs/math/0005206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59245
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.subject32S05; 14H20
dc.titleIntegration with respect to Euler characteristic over the projectivization of the space of functions and the Alexander polynomial of a plane curve singularity
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