Algorithm for computing local Bernstein-Sato ideals

Details Algorithm for computing local Bernstein-Sato ideals Algorithm for computing local Bernstein-Sato ideals

2008-06-30

arxiv.org/abs/0806.4869v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

Given $p$ polynomials of $n$ variables over a field $k$ of characteristic 0 and a point $a \in k^n$, we propose an algorithm computing the local Bernstein-Sato ideal at $a$. Moreover with the same algorithm we compute a constructible stratification of $k^n$ such that the local Bernstein-Sato ideal is constant along each stratum. Finally, we present non-trivial examples computed with our algorithm.

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