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Local rings of countable Cohen-Macaulay type |
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| Authors: | Craig Huneke Graham J Leuschke |
| Institution: | Department of Mathematics, University of Kansas, Lawrence, Kansas 66045 ; Department of Mathematics, University of Kansas, Lawrence, Kansas 66045 |
| 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. |
| Keywords: | Maximal Cohen--Macaulay modules CM representation type countable CM type |
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