Details:
Title  Local Bernstein–Sato ideals: Algorithm and examples  Author(s)  Rouchdi Bahloul, Toshinori Oaku  Type  Article in Journal  Abstract  Let k be a field of characteristic 0. Given a polynomial mapping f = (f_1, … ,f_p) from k^n to k^p , the local Bernstein–Sato ideal of f at a point a ∈ k^n is defined as an ideal of the ring of polynomials in s = (s_1, … ,s_p) . We propose an algorithm for computing local Bernstein–Sato ideals by combining Gröbner bases in rings of differential operators with primary decomposition in a polynomial ring. It also enables us to compute a constructible stratification of k n such that the local Bernstein–Sato ideal is constant along each stratum. We also present examples, some of which have nonprincipal Bernstein–Sato ideals, computed with our algorithm by using the computer algebra system Risa/Asir.  Keywords  Bernstein–Sato ideal, D module, Gröbner base, Primary decomposition  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717109001230 
Language  English  Journal  Journal of Symbolic Computation  Volume  45  Number  1  Pages  46  59  Year  2010  Edition  0  Translation 
No  Refereed 
No 
