On the reduced Bernstein-Sato polynomial of Thom-Sebastiani singularities

Alberto Castaño Domínguez, Luis Narváez Macarro

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 th…