Local rings of countable Cohen--Macaulay type
Commutative Algebra
2007-05-23 v1
Abstract
We prove (the excellent case of) Schreyer's conjecture that a local ring with countable Cohen--Macaulay type has at most a one-dimensional singular locus. Furthermore we prove that the localization of a Cohen-Macaulay local ring of countable CM type is again of countable CM type.
Cite
@article{arxiv.math/0205054,
title = {Local rings of countable Cohen--Macaulay type},
author = {Craig Huneke and Graham Leuschke},
journal= {arXiv preprint arXiv:math/0205054},
year = {2007}
}
Comments
6 pages