Artículo
On the reduced Bernstein-Sato polynomial of Thom-Sebastiani singularities
Autor/es | Alberto Castaño Domínguez
Luis Narváez Macarro |
Departamento | Universidad de Sevilla. Departamento de Álgebra |
Fecha de publicación | 2023-08-10 |
Fecha de depósito | 2024-05-02 |
Resumen | 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) ... 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. |
Identificador del proyecto | PID2020-114613GB-I00
P20_01056 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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ThomSebastiani.pdf | 306.8Kb | [PDF] | Ver/ | |