Algorithm for Computing Bernstein–Sato Ideals Associated with a Polynomial Mapping

Let f1, . . . ,fpbe polynomials in n variables with coefficients in a fieldK. We associate with these polynomials a number of functional equations and related ideals B, BjandBΣofK[s1, . . . , sp] called Bernstein–Sato ideals. Using standard basis techniques, our aim is to present an algorithm for computing generators of BjandBΣ.