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dc.creatorAlberto Castaño Domínguezes
dc.creatorLuis Narváez Macarroes
dc.date.accessioned2024-05-02T12:18:21Z
dc.date.available2024-05-02T12:18:21Z
dc.date.issued2023-08-10
dc.identifier.issn1988-2807es
dc.identifier.urihttps://hdl.handle.net/11441/157450
dc.description.abstractGiven two holomorphic functions f and g defined in two respective germs of complex analytic manifolds (X, x) and (Y, y), we know thanks to M. Saito that, as long as one of them is Euler homogeneous, the reduced (or microlocal) Bernstein-Sato polynomial of the Thom-Sebastiani sum f+g can be expressed in terms of those of f and g. In this note we give a purely algebraic proof of a similar relation between the whole functional equations that can be applied to any setting (not necessarily analytic) in which Bernstein-Sato polynomials can be defined.es
dc.description.sponsorshipMinisterio de Ciencia e Innovación PID2020-114613GB-I00es
dc.description.sponsorshipJunta de Andalucía P20_01056es
dc.description.sponsorshipUniversidad de Sevilla VI PPIT US-2018-II.5es
dc.formatapplication/pdfes
dc.format.extent10es
dc.language.isoenges
dc.publisherSpringer Naturees
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectBernstein-Sato polynomiales
dc.subjectFunctional equationes
dc.subjectThom-Sebastiani singularityes
dc.subjectV-filtrationes
dc.titleOn the reduced Bernstein-Sato polynomial of Thom-Sebastiani singularitieses
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/acceptedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Álgebraes
dc.relation.projectIDPID2020-114613GB-I00es
dc.relation.projectIDP20_01056es
dc.identifier.doi10.1007/s13163-023-00478-xes
dc.contributor.groupUniversidad de Sevilla. FQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopíaes
dc.journaltitleRevista Matemática Complutensees
dc.publication.volumenOnline Firstes
dc.publication.initialPage1es
dc.publication.endPage10es

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