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arXiv · 0806.4869

Algorithm for computing local Bernstein-Sato ideals

Rouchdi Bahloul·Toshinori Oaku
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Abstract

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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Rouchdi Bahloul, Toshinori Oaku. 2008-06-30. Algorithm for computing local Bernstein-Sato ideals. https://arxiv.org/abs/0806.4869

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