On invariants of modules over the ring of differential operators
type: Item
instance of: scholarly article
title: On invariants of modules over the ring of differential operators
zbMATH Open document ID: 1506.13044
author: Aarti Patle
author: Jyoti Singh
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2022-10-04T00:00:00Z
review text: Let \(K\) be a field of zero characteristic and \(R=KX_1,\ldots,X_n\) 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.
reviewed by: Ali Benhissi
Mathematics Subject Classification ID: 13N10
Mathematics Subject Classification ID: 14B15
zbMATH DE Number: 7596064
zbMATH Keywords: rings of differential operators and their modules
zbMATH Keywords: local cohomology
zbMATH Keywords: characteristic variety
zbMATH Keywords: characteristic cycle
zbMATH Keywords: critical cone
MaRDI profile type: Publication
full work available at URL: s40840-022-01347-4
OpenAlex ID: W4283761592
Wikidata QID: Q114218397
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DOI: 10.1007/S40840-022-01347-4
description: scientific article; zbMATH DE number 7596064