Universal abelian covers of rational surface singularities and multi-index filtrations

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dc.creatorCampillo, A.
dc.creatorDelgado, F.
dc.creatorGusein-Zade, S. M.
dc.date2007-06-27
dc.date.accessioned2026-07-07T08:12:43Z
dc.date.available2026-07-07T08:12:43Z
dc.descriptionIn previous papers, there were computed the Poincare series of some (multi-index) filtrations on the ring of germs of functions on a rational surface singularity. These Poincare series were written as the integer parts of certain fractional power series, an interpretation of whom was not given. Here we show that, up to a simple change of variables, these fractional power series are specializations of the equivariant Poincare series for filtrations on the ring of germs of functions on the universal abelian cover of the surface singularity. We compute these equivariant Poincare series.
dc.identifierhttps://arxiv.org/abs/0706.4062
dc.identifierhttp://arxiv.org/abs/0706.4062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132548
dc.subjectAlgebraic Geometry
dc.subject14H20; 14J17; 32S25
dc.titleUniversal abelian covers of rational surface singularities and multi-index filtrations
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