Poincare series of multiplier ideals in two-dimensional local rings with rational singularities

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/105918

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
dc.contributor.author	Alberich Carramiñana, Maria
dc.contributor.author	Álvarez Montaner, Josep
dc.contributor.author	Dachs Cadefau, Ferran
dc.contributor.author	González Alonso, Víctor
dc.date	2017-01-02
dc.identifier.citation	Alberich, M., Alvarez, J., Dachs, F., González-Alonso, V. Poincare series of multiplier ideals in two-dimensional local rings with rational singularities. "Advances in mathematics", 2 Gener 2017, vol. 304, p. 769-792.
dc.identifier.citation	0001-8708
dc.identifier.uri	http://hdl.handle.net/2117/105918
dc.language.iso	eng
dc.relation	http://www.sciencedirect.com/science/article/pii/S0001870816311793
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Geometry, Algebraic
dc.subject	Multiplier ideals
dc.subject	Rational singularity
dc.subject	Geometria algebraica
dc.title	Poincare series of multiplier ideals in two-dimensional local rings with rational singularities
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We study the multiplicity of the jumping numbers of an mm-primary ideal a in a two-dimensional local ring with a rational singularity. The formula we provide for the multiplicities leads to a very simple and efficient method to detect whether a given rational number is a jumping number. We also give an explicit description of the Poincare series of multiplier ideals associated to a proving, in particular, that it is a rational function.
dc.description.abstract	Peer Reviewed

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