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Poincaré series for curve singularities and its behaviour under projections
dc.contributor.author | Moyano-Fernández, Julio José | |
dc.date.accessioned | 2016-05-10T11:58:39Z | |
dc.date.available | 2016-05-10T11:58:39Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | MOYANO-FERNÁNDEZ, Julio José. Poincaré series for curve singularities and its behaviour under projections. Journal of Pure and Applied Algebra, 2015, vol. 219, no 6, p. 2449-2462. | ca_CA |
dc.identifier.issn | 0022-4049 | |
dc.identifier.uri | http://hdl.handle.net/10234/159498 | |
dc.description.abstract | Let O be an equicharacteristic reduced complete noetherian local ring of Krull dimension one, and let S be the value semigroup associated with O. The aim of the paper is to investigate the behaviour of the multi-variable Poincaré series associated to S with respect to the property of “forgetting variables”. We prove that, for O Gorenstein, the Poincaré series with one less variable can be explicitly computed in terms of the original series; this provides also a shorter and pure arithmetical way to show that the Poincaré series is a complete invariant of the equisingularity. Moreover we express (without the Gorenstein assumption) the Hilbert series of S in terms of the Poincaré series of the unions of irreducible components of the singularity. | ca_CA |
dc.description.sponsorShip | The author was partially supported by the German Research Council (DFG), grant GRK 1916 and the Spanish Government Ministerio de Economía y Competitividad (MINECO), grant MTM2012-36917-C03-03. | ca_CA |
dc.format.extent | 14 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Journal of Pure and Applied Algebra, 2015, vol. 219, no 6 | ca_CA |
dc.rights | Copyright © Elsevier B.V. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | curve singularity | ca_CA |
dc.subject | Poincaré series | ca_CA |
dc.subject | value semigroup | ca_CA |
dc.subject | Grothendieck ring of varieties | ca_CA |
dc.subject | motivic integration | ca_CA |
dc.subject | Alexander polynomial | ca_CA |
dc.title | Poincaré series for curve singularities and its behaviour under projections | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1016/j.jpaa.2014.09.009 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0022404914002473 | ca_CA |
dc.type.version | info:eu-repo/semantics/sumittedVersion |
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