On invariants of modules over the ring of differential operators (Q2082409)
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scientific article; zbMATH DE number 7596064
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On invariants of modules over the ring of differential operators |
scientific article; zbMATH DE number 7596064 |
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On invariants of modules over the ring of differential operators (English)
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4 October 2022
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Let \(K\) be a field of zero characteristic and \(R=K[[X_1,\ldots,X_n]]\) the domain of formal power series. Denote by \(D(R,K)\) the ring of differential operators over \(R\). In the paper under review, the authors investigate the weighted order filtration on \(D(R,K)\)-modules. Using the notion of holonomic \(D(R,K)\)-modules, they determine some invariants like characteristic variety, critical cone and others. Some applications are given.
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rings of differential operators and their modules
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local cohomology
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characteristic variety
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characteristic cycle
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critical cone
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