Examples of degenerations of Cohen-Macaulay modules

Details Examples of degenerations of Cohen-Macaulay modules Examples of degenerations of Cohen-Macaulay modules

2010-12-24

arxiv.org/abs/1012.5346v1

Mathematics

Commutative Algebra

13 pages

Scientific paper

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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