\(gr(D_ n)\) and \(gr(\varepsilon_ p)\) are not Noetherian rings with pure dimension (Q1309115)
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scientific article; zbMATH DE number 468809
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(gr(D_ n)\) and \(gr(\varepsilon_ p)\) are not Noetherian rings with pure dimension |
scientific article; zbMATH DE number 468809 |
Statements
\(gr(D_ n)\) and \(gr(\varepsilon_ p)\) are not Noetherian rings with pure dimension (English)
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10 January 1994
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Let \(D_ n\) be the stalk of the sheaf of linear differential operators with holomorphic coefficients at a point of an \(n\)-dimensional complex manifold. The main result of the paper states that \(gr(D_ n)\) is not a regular Noetherian ring with pure dimension. A similar result is given for the stalk of the sheaf of microlocal differential operators.
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sheaf of linear differential operators
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sheaf of microlocal differential operators
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