Local rings of countable Cohen--Macaulay type
classification
🧮 math.AC
keywords
countabletypelocalcohen--macaulayproveringcasecohen-macaulay
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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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