Computation of the slopes of a \(D\)-module of type \(D^r/N\) (Q2738464)

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scientific article; zbMATH DE number 1639639
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Computation of the slopes of a \(D\)-module of type \(D^r/N\)
scientific article; zbMATH DE number 1639639

    Statements

    6 June 2002
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    Newton polygon
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    irregularity
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    slope of a coherent \(D\)-module
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    Computation of the slopes of a \(D\)-module of type \(D^r/N\) (English)
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    The author provides a natural generalization of the algorithms of [\textit{A. Assi} et al., Compos. Math. 104, 107-123 (1996; Zbl 0862.32005)] as well as a collection of examples for modules of type \({\mathcal D}^r/N\), where \(N\) is a submodule of \({\mathcal D}^r\). This family of examples is a first step in the study of the behavior of the slopes under elementary operations over \({\mathcal D}\)-modules (direct sum, syzygies,\dots).NEWLINENEWLINEFor the entire collection see [Zbl 0963.00025].
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