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.
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CITATION STYLE
APA
Huneke, C., & Leuschke, G. J. (2003). Local rings of countable Cohen-Macaulay type. Proceedings of the American Mathematical Society, 131(10), 3003–3007. https://doi.org/10.1090/s0002-9939-03-07167-3
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