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)