A criterion of Cohen Macaulayness of the form module

2019/08/20 by M. Azeem Khadam, Khadam, M. Azeem
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Primary: 13D45 #Secondary: 13H10

paper · pdf · doi:10.48550/arxiv.1908.07317

openalex publication_date 2019/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let \mathfrakq be an ideal of a Noetherian local ring (A,\mathfrakm) and M a non-zero finitely generated A-module. We present a criterion of Cohen-Macaulayness of the form module G_M(\mathfrakq) in terms of (non-)vanishing of a variation of local cohomology introduced in \citeKSch.

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