dc.contributor.author
Alvarez Montaner, Josep
dc.contributor.author
Gonzalez Villa, Manuel
dc.contributor.author
Leon-Cardenal, Edwin
dc.contributor.author
Nuñez-Betancourt, Luis
dc.date.accessioned
2025-03-12T12:26:27Z
dc.date.available
2025-03-12T12:26:27Z
dc.date.issued
2025-01-30
dc.identifier.uri
http://hdl.handle.net/2072/482434
dc.description.abstract
We develop a theory of Bernstein-Sato polynomials for meromorphic functions. As a first application we study the poles of Archimedian local zeta functions for meromorphic germs. We also present a theory of multiplier ideals for meromorphic functions from the analytic and algebraic point of view. It is also shown that the jumping numbers of these multiplier ideals are related with the roots of the Bernstein-Sato polynomials.
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dc.description.sponsorship
The first author was partially supported by the projects PID2019-103849GB-I00 and PID2023-146936NB-I00 financed by the Spanish State Agency MCIN/AEI/10.13039/501100011033/FEDER, UE, by the GEOMVAP 2021-SGR-00603 AGAUR project and Spanish State Research Agency, through the Severo Ochoa and Maria de Maeztu Program for Centers and Units of Excellence in R&D (project CEX2020-001084-M) . The second author was partially supported by CONACyT Grant No. 320393, by MCIN/AEI/10.13039/501100011033 (codes PID2020-114750GB-C31 and PID2020-114750GB-C33) , by Departamento de Ciencia, Universidad y Sociedad del Conocimiento del Gobierno de Aragon (grant code: E22 20R: & Aacute;lgebra y Geometria) , and by the European Union NextGenerationEU/PRTR and UNIZAR via Maria Zambrano's Program. The third author was partially supported by MCIN/AEI/10.13039/501100011033 (grant code: PID2020-114750GB-C31) and by Departamento de Ciencia, Universidad y Sociedad del Conocimiento del Gobierno de Aragon (grant code: E22 20R: & Aacute;lgebra y Geometria) . Funded by the European Union NextGenerationEU/PRTR and UNIZAR via Maria Zambrano's Program and also partially supported by CONAHCYT project CF-2023-G33. The fourth author was partially supported by CONAHCyT Grants 284598, CBF 2023-2024-224, CF-2023-G-33 and Catedras Marcos Moshinsky.
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dc.format.extent
25 p.
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dc.publisher
American Mathematical Society
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dc.relation.ispartof
Transactions of the American Mathematical Society
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dc.subject.other
Bernstein-Sato polynomial
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dc.subject.other
Archimedean Local Zeta Functions
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dc.subject.other
Multiplier Ideals
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dc.title
Bernstein-Sato polynomial and related invariants for meromorphic functions
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/acceptedVersion
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dc.identifier.doi
10.1090/tran/9390
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
