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For strongly Euler-homogeneous, Saito-holonomic, and tame analytic germs weconsider general types of multivariate Bernstein-Sato ideals associated toarbitrary factorizations of our germ. We show the zero loci of these ideals arepurely codimension one and the zero loci associated to different factorizationsare related by a diagonal property. If, additionally, the divisor is ahyperplane arrangement, we show the Bernstein-Sato ideals attached to afactorization into linear forms are principal. As an application, weindependently verify and improve an estimate of Maisonobe's regarding standardBernstein-Sato ideals for reduced, generic arrangements: we compute theBernstein-Sato ideal for a factorization into linear forms and we compute itszero locus for other factorizations.

A Note on Bernstein-Sato Varieties for Tame Divisors and Arrangements