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On the reduced Bernstein-Sato polynomial of Thom-Sebastiani singularities
dc.creator | Alberto Castaño Domínguez | es |
dc.creator | Luis Narváez Macarro | es |
dc.date.accessioned | 2024-05-02T12:18:21Z | |
dc.date.available | 2024-05-02T12:18:21Z | |
dc.date.issued | 2023-08-10 | |
dc.identifier.issn | 1988-2807 | es |
dc.identifier.uri | https://hdl.handle.net/11441/157450 | |
dc.description.abstract | Given 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.sponsorship | Ministerio de Ciencia e Innovación PID2020-114613GB-I00 | es |
dc.description.sponsorship | Junta de Andalucía P20_01056 | es |
dc.description.sponsorship | Universidad de Sevilla VI PPIT US-2018-II.5 | es |
dc.format | application/pdf | es |
dc.format.extent | 10 | es |
dc.language.iso | eng | es |
dc.publisher | Springer Nature | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Bernstein-Sato polynomial | es |
dc.subject | Functional equation | es |
dc.subject | Thom-Sebastiani singularity | es |
dc.subject | V-filtration | es |
dc.title | On the reduced Bernstein-Sato polynomial of Thom-Sebastiani singularities | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Álgebra | es |
dc.relation.projectID | PID2020-114613GB-I00 | es |
dc.relation.projectID | P20_01056 | es |
dc.identifier.doi | 10.1007/s13163-023-00478-x | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía | es |
dc.journaltitle | Revista Matemática Complutense | es |
dc.publication.volumen | Online First | es |
dc.publication.initialPage | 1 | es |
dc.publication.endPage | 10 | es |
Ficheros | Tamaño | Formato | Ver | Descripción |
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ThomSebastiani.pdf | 306.8Kb | ![]() | Ver/ | |