On the reduced Bernstein-Sato polynomial of Thom-Sebastiani singularities
| Autor: | Domínguez, Alberto Castaño, Macarro, Luis Narváez |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Rev. Mat. Complut., Online first (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s13163-023-00478-x |
| Popis: | 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. Comment: 8 pages, final version |
| Databáze: | arXiv |
| Externí odkaz: |
|