Stable degenerations of Cohen-Macaulay modules
Commutative Algebra
2010-12-22 v1 Representation Theory
Abstract
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.
Cite
@article{arxiv.1012.4531,
title = {Stable degenerations of Cohen-Macaulay modules},
author = {Yuji Yoshino},
journal= {arXiv preprint arXiv:1012.4531},
year = {2010}
}
Comments
29 pages, to appear in Journal of Algebra