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Local rings of countable Cohen-Macaulay type
Author(s):
Craig
Huneke;
Graham
J.
Leuschke
Journal:
Proc. Amer. Math. Soc.
131
(2003),
3003-3007.
MSC (2000):
Primary 13C14;
Secondary 13H10, 13C05
Posted:
May 9, 2003
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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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Additional Information:
Craig
Huneke
Affiliation:
Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
Email:
huneke@math.ukans.edu
Graham
J.
Leuschke
Affiliation:
Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
Email:
gleuschke@math.ukans.edu
DOI:
10.1090/S0002-9939-03-07167-3
PII:
S 0002-9939(03)07167-3
Keywords:
Maximal Cohen--Macaulay modules,
CM representation type,
countable CM type
Received by editor(s):
May 10, 2002
Posted:
May 9, 2003
Additional Notes:
Both authors were supported by the National Science Foundation
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2003,
American Mathematical Society
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