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On some properties of the asymptotic Samuel function
dc.contributor.authorEncinas Carrión, Santiago 
dc.contributor.authorBravo, Ana
dc.contributor.authorGuillán Rial, Javier
dc.date.accessioned2025-07-02T08:58:16Z
dc.date.available2025-07-02T08:58:16Z
dc.date.issued2025
dc.identifier.citationMathematische Nachrichten, 2025, p. 1-23es
dc.identifier.issn0025-584Xes
dc.identifier.urihttps://uvadoc.uva.es/handle/10324/76184
dc.descriptionProducción Científicaes
dc.description.abstractThe asymptotic Samuel function generalizes to arbitrary rings the usual order function of a regular local ring. Here, we explore some natural properties in the context of excellent, equidimensional rings containing a field. In addition, we establish some results regarding the Samuel slope of a local ring. This is an invariant related with algorithmic resolution of singularities of algebraic varieties. Among other results, we study its behavior after certain faithfully flat extensions.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.publisherWiley-VCHes
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectAsymptotic Samuel functiones
dc.subjectIntegral closurees
dc.titleOn some properties of the asymptotic Samuel functiones
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.holder© 2025 The Author(s)es
dc.identifier.doi10.1002/mana.12037es
dc.relation.publisherversionhttps://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.12037es
dc.identifier.publicationfirstpage1es
dc.identifier.publicationlastpage23es
dc.identifier.publicationtitleMathematische Nachrichtenes
dc.peerreviewedSIes
dc.description.projectEste trabajo forma parte del proyecto de investigación: Ministerio de Ciencia e Innovación, Grant/Award Numbers: PID2022-138916NB-I00, CEX2019-000904-S, MCIN/AEI/10.13039/501100011033; Comunidad de Madrid; Agencia Estatal de Investigación, Grant/Award Number: CEX2020-001084-M; Ministerio de Ciencia e Innovacion, Grant/Award Number: PRE2021-100072es
dc.description.projectOpen access funding provided by FEDER European Funds and the Junta De Castilla y León under the Research and Innovation Strategy for Smart Specialization (RIS3) of Castilla y León 2021-2027.en
dc.identifier.essn1522-2616es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones


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