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

dc.contributor.author	Galindo, Carlos
dc.contributor.author	Monserrat, Francisco
dc.date.accessioned	2012-10-22T11:17:43Z
dc.date.available	2012-10-22T11:17:43Z
dc.date.issued	2010
dc.identifier	http://dx.doi.org/10.1016/j.aim.2010.03.008
dc.identifier.citation	Advances in Mathematics, 225, 2, p. 1046-1068
dc.identifier.issn	18708
dc.identifier.uri	http://hdl.handle.net/10234/49475
dc.description.abstract	For a simple complete ideal p of a local ring at a closed point on a smooth complex algebraic surface, we introduce an algebraic object, named Poincaré series P<sub>p</sub>, that gathers in a unified way the jumping numbers and the dimensions of the vector space quotients given by consecutive multiplier ideals attached to p. This paper is devoted to prove that P<sub>p</sub> is a rational function giving an explicit expression for it. © 2010 Elsevier Inc.
dc.language.iso	eng
dc.publisher	Elsevier
dc.rights.uri	http://rightsstatements.org/vocab/CNE/1.0/	*
dc.subject	Multiplier ideal
dc.subject	Poincaré series
dc.subject	Primary
dc.subject	Secondary
dc.subject	Simple complete ideal
dc.title	The Poincaré series of multiplier ideals of a simple complete ideal in a local ring of a smooth surface
dc.type	info:eu-repo/semantics/article
dc.identifier.doi	http://dx.doi.org/10.1016/j.aim.2010.03.008
dc.rights.accessRights	info:eu-repo/semantics/restrictedAccess
dc.type.version	info:eu-repo/semantics/publishedVersion

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