Local rings of countable Cohen--Macaulay type

Details Local rings of countable Cohen--Macaulay type Local rings of countable Cohen--Macaulay type

2002-05-06

arxiv.org/abs/math/0205054v1

Mathematics

Commutative Algebra

6 pages

Scientific paper

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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