Local rings of countable Cohen-Macaulay type

Huneke, Craig; Leuschke, Graham

doi:10.1090/S0002-9939-03-07167-3

Local rings of countable Cohen-Macaulay type
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by Craig Huneke and Graham J. Leuschke PDF

Proc. Amer. Math. Soc. 131 (2003), 3003-3007 Request permission

Abstract:

We prove (the excellent case of) Schreyer’s conjecture that a local ring with countable CM 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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