Rui-Jie Yang

Filtrations on D-modules and multiplicities of roots of Bernstein-Sato polynomials

In this paper, we relate multiplicities of Bernstein--Sato-type polynomials with respect to a holomorphic function f to several singularity invariants. First, we introduce certain ``mod''b-functions and show that they characterize the weight filtration on the localization of a simple regular holonomic D-module along f,...