2002/05/06 by Craig Huneke, Huneke, Craig, Graham Leuschke +1
Mathematics · #13C14 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC #msc:13C14
paper · pdf · doi:10.48550/arxiv.math/0205054
6 pages
arxiv created 2002/05/06 · openalex publication_date 2002/05/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.