Bernstein-Sato polynomial and related invariants for meromorphic functions
Àlvarez Montaner, Josep ; González Villa, Manuel (Universidad de Zaragoza) ; León-Cardenal, Edwin (Universidad de Zaragoza) ; Núñez-Betancourt, Luis
Resumen: 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.
Idioma: Inglés
DOI: 10.1090/tran/9390
Año: 2025
Publicado en: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 378 (2025), 4929-4954
ISSN: 0002-9947
Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-20R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C33/AEI/10.13039/501100011033
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)
Área (Departamento): Área Algebra (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2026-04-30-14:05:37)
Visitas y descargas
Idioma: Inglés
DOI: 10.1090/tran/9390
Año: 2025
Publicado en: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 378 (2025), 4929-4954
ISSN: 0002-9947
Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-20R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C33/AEI/10.13039/501100011033
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)
Área (Departamento): Área Algebra (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2026-04-30-14:05:37)
Permalink:
Visitas y descargas
Este artículo se encuentra en las siguientes colecciones:
Articles > Artículos por área > Álgebra
Record created 2025-12-19, last modified 2026-04-30