Computing local cohomology in MACAULAY 2 (Q2776429)
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scientific article; zbMATH DE number 1714583
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computing local cohomology in MACAULAY 2 |
scientific article; zbMATH DE number 1714583 |
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15 February 2004
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computing algebraic local cohomology
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MACAILAY 2
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holonomic \(D\)-modules
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0.91110194
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0.91080105
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0.9102403
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0.9100296
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0.9082985
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Computing local cohomology in MACAULAY 2 (English)
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The paper analyzes two methods for computing algebraic local cohomology and considers the problem of the implementation of the algorithms. The first method proposed is due to \textit{U. Walther} [J. Pure Appl. Algebra 139, 303-321 (1999; Zbl 0960.14003)] and is based on the construction of a Čech complex of holonomic \(D\)-modules. The second method is based on the results of \textit{T. Oaku} and \textit{N. Takayama} [J. Pure Appl. Algebra 156, 267-308 (2001; Zbl 0983.13008)]. NEWLINENEWLINENEWLINEIn the paper the reader can find several examples of computations performed in MACAULAY 2 and a comparison of the two methods in terms of the machine time. Moreover, it is given an analysis of the advantages and disadvantages of the two approaches which, from a computational point of view, are quite different.NEWLINENEWLINEFor the entire collection see [Zbl 0974.00036].
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