The Poincare series of multiplier ideals of a simple complete ideal in a local ring of a smooth surface

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dc.creatorGalindo, Carlos
dc.creatorMonserrat, Francisco
dc.date2008-06-02
dc.date2008-07-11
dc.date.accessioned2026-07-07T09:49:32Z
dc.date.available2026-07-07T09:49:32Z
dc.descriptionFor a simple complete ideal $\wp$ of a local ring at a closed point on a smooth complex algebraic surface, we introduce an algebraic object, named Poincaré series $P_{\wp}$, that gathers in an unified way the jumping numbers and the dimensions of the vector space quotients given by consecutive multiplier ideals attached to $\wp$. This paper is devoted to prove that $P_{\wp}$ is a rational function giving an explicit expression for it.
dc.identifierhttps://arxiv.org/abs/0806.0231
dc.identifierhttp://arxiv.org/abs/0806.0231
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164620
dc.subjectAlgebraic Geometry
dc.subject14B05; 13H05
dc.titleThe Poincare series of multiplier ideals of a simple complete ideal in a local ring of a smooth surface
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