On Cohen-Macaulay modules over the Weyl algebra
The main purpose of this paper is to provide a well-defined and reasonable definition of Cohen-Macaulay \(D\)-modules, where \(D = k[x]\langle \partial\rangle =: k[x_1, \ldots , x_n]\langle \partial_1, \ldots , \partial_n\rangle\) and is the \(n\)th Weyl algebra over a field \(k\) of characteristic \(0\). They also give a sufficient condition for a GKZ \(A\)-hypergeometric \(D\)-module to be Cohen-Macaulay.\N\NNote that for noncommutative rings, there are different notions of Cohen-Macaulayness in the literature.
scientific article; zbMATH DE number 7881704
scientific article