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arxiv: 1012.5346 · v1 · pith:VGS2IIP7new · submitted 2010-12-24 · 🧮 math.AC · math.RA

Examples of degenerations of Cohen-Macaulay modules

classification 🧮 math.AC math.RA
keywords degenerationscohen-macaulaymodulesexamplesextendedmaximaltypealgebra
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We study the degeneration problem for maximal Cohen-Macaulay modules and give several examples of such degenerations. It is proved that such degenerations over an even-dimensional simple hypersurface singularity of type $(A_n)$ are given by extensions. We also prove that all extended degenerations of maximal Cohen-Macaulay modules over a Cohen-Macaulay complete local algebra of finite representation type are obtained by iteration of extended degenerations of Auslander-Reiten sequences.

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