On the structure of Cohen-Macaulay modules over hypersurfaces of countable Cohen-Macaulay representation type

DOI10.1016/j.jalgebra.2012.03.032zbMath1275.13009arXiv1002.0137OpenAlexW2963202082MaRDI QIDQ1931692

Tokuji Araya, Ryo Takahashi, Kei-ichiro Iima

Publication date: 15 January 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0137

zbMATH Keywords

hypersurfacemaximal Cohen-Macaulay modulestable categorycountable Cohen-Macaulay representation typeKnörrer's periodicity

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Cohen-Macaulay modules (13C14)

Related Items (8)

Generation in Module Categories and Derived Categories of Commutative Rings ⋮ Dimensions of triangulated categories with respect to subcategories ⋮ Degenerations over \((A_{\infty})\)-singularities and construction of degenerations over commutative rings ⋮ The dimension of the category of maximal Cohen-Macaulay modules over Cohen-Macaulay local rings of dimension one ⋮ Generation in singularity categories of hypersurfaces of countable representation type ⋮ A topology on the set of isomorphism classes of maximal Cohen–Macaulay modules ⋮ Brauer-Thrall for totally reflexive modules over local rings of higher dimension ⋮ Maximal Cohen-Macaulay modules that are not locally free on the punctured spectrum

Uses Software

• classifyCeq.lib

Cites Work

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• Simple singularities in positive characteristic
• Cohen-Macaulay modules on hypersurface singularities. I
• Cohen-Macaulay modules on hypersurface singularities. II
• Classifying thick subcategories of the stable category of Cohen-Macaulay modules
• Modules in resolving subcategories which are free on the punctured spectrum
• Maximal Cohen-Macaulay modules over surface singularities
• Homological Algebra on a Complete Intersection, with an Application to Group Representations

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