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.
- Cm representation type
- Countable cm type
- Maximal cohen-macaulay modules
ASJC Scopus subject areas
- Applied Mathematics