On the stable hom relation and stable degenerations of Cohen-Macaulay modules
Commutative Algebra
2017-10-02 v4
Abstract
We study the stable hom relation for Cohen-Macaulay modules over Gorenstein local algebras. We give the sufficient condition to make the stable hom relation a partial order when the base algebra is of finite representation type. As an application, we give the description of stable degenerations of Cohen-Macaulay modules over simple singularities of several types by using the stable hom relation.
Keywords
Cite
@article{arxiv.1501.05027,
title = {On the stable hom relation and stable degenerations of Cohen-Macaulay modules},
author = {Naoya Hiramatsu},
journal= {arXiv preprint arXiv:1501.05027},
year = {2017}
}
Comments
The title has been changed. Final version. To appear in Journal of Pure and Applied Algebra