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.
Huneke, Craig and Leuschke, Graham J., "Local Rings of Countable Cohen-Macaulay Type" (2002). Mathematics Faculty Scholarship. 26.
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