Let f1, . . . , fp be polynomials in C[x1, . . . , xn] and let D = Dn be the n-th Weyl algebra. We provide upper bounds for the complexity of computing the annihilating ideal of f s = f s1 1 · · · f sp p in D[s] = D[s1, . . . , sp]. These bounds provide an initial explanation on the differences between the running times of the two methods known to obtain the so-called BernsteinSato ideals.
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机译:让f1 ,。 。 。 ,fp是C [x1,。。。中的多项式。 。 ,xn],令D = Dn为第n个Weyl代数。我们为D [s] = D [s1,...]中的f s = f s1 1···f sp p的an灭理想的计算复杂性提供了上限。 。 。 ,sp]。这些界限为获得已知的所谓的BernsteinSato理想的两种方法的运行时间之间的差异提供了初步的解释。
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