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Grothendieck local residue is considered in the context of symbolic computation. Basic ideas of our approach are the use of local cohomology, holonomic D-modules, and Noether operators. An effective method is introduced for computing Grothendieck local residues of rational n-forms under shape basis condition. Resulting algorithms that avoid the use of Gröbner bases on the Weyl algebra and an implementation are described. Some examples are also given for illustration.
Mathematics in Computer Science – Springer Journals
Published: Jun 15, 2019
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