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arxiv: 1811.08054 · v1 · pith:4YAFH4J6new · submitted 2018-11-20 · 🧮 math.AC · math.AG· math.CV

An algorithm for computing Grothendieck local residues II --- general case ---

classification 🧮 math.AC math.AGmath.CV
keywords localgrothendieckalgorithmcomputingresiduesassociatedcaseclass
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Grothendieck local residue is considered in the context of symbolic computation. Based on the theory of holonomic D-modules, an effective method is proposed for computing Grothendieck local residues. The key is the notion of Noether operator associated to a local cohomology class. The resulting algorithm and an implementation are described with illustrations.

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