Local rings of countable Cohen--Macaulay type

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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.
6 pages

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Commutative Algebra, 13C14

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http://salesiana.dossiersoluciones.com/handle/123456789/63989

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0205054
 http://arxiv.org/abs/math/0205054

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arXiv