Bernstein-Sato ideals and hyperplane arrangements

We study the relation between zero loci of Bernstein-Sato ideals and roots b-functions obtain a criterion to guarantee that reducible polynomial are determined by locus associated ideal. Applying together with result Maisonobe we prove set b-function free hyperplane arrangement is its intersection lattice. also relative characteristic cycles for arbitrary central arrangements. multivariable n/d conjecture Budur complete factorizations arrangements, which in turn proves strong monodromy topological zeta functions.