. A G ] 3 0 Ju n 20 08 ALGORITHM FOR COMPUTING LOCAL BERNSTEIN - SATO IDEALS
نویسنده
چکیده
Given p polynomials of n variables over a field k of characteristic 0 and a point a ∈ k, we propose an algorithm computing the local Bernstein-Sato ideal at a. Moreover with the same algorithm we compute a constructible stratification of k such that the local Bernstein-Sato ideal is constant along each stratum. Finally, we present non-trivial examples computed with our algorithm.
منابع مشابه
Local Bernstein-Sato ideals: Algorithm and examples
Let k be a field of characteristic 0. Given a polynomial mapping f = (f1, . . . , fp) from kn to kp, the local Bernstein–Sato ideal of f at a point a ∈ kn is defined as an ideal of the ring of polynomials in s = (s1, . . . , sp). We propose an algorithm for computing local Bernstein–Sato ideals by combining Gröbner bases in rings of differential operators with primary decomposition in a polynom...
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We introduce the notion of Bernstein-Sato polynomial of an arbitrary variety (which is not necessarily reduced nor irreducible), using the theory of V -filtrations of M. Kashiwara and B. Malgrange. We prove that the decreasing filtration by multiplier ideals coincides essentially with the restriction of the V -filtration. This implies a relation between the roots of the Bernstein-Sato polynomia...
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