Stable degenerations of Cohen-Macaulay modules

Details Stable degenerations of Cohen-Macaulay modules Stable degenerations of Cohen-Macaulay modules

2010-12-21

arxiv.org/abs/1012.4531v1

Mathematics

Commutative Algebra

29 pages, to appear in Journal of Algebra

Scientific paper

As a stable analogue of degenerations, we introduce the notion of stable
degenerations for Cohen-Macaulay modules over a Gorenstein local algebra. We
shall give several necessary and/or sufficient conditions for the stable
degeneration. These conditions will be helpful to see when a Cohen-Macaulay
module degenerates to another.

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