Explicit models for some stable categories of maximal Cohen-Macaulay modules

2010/06/10 by Louis de Thanhoffer de Völcsey, Michel Van den Bergh, de Völcsey, Louis de Thanhoffer +1 · 2 citations
Mathematics · #16G50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1006.2021

openalex publication_date 2010/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give concrete DG-descriptions of certain stable categories of maximal Cohen-Macaulay modules. This makes in possible to describe the latter as generalized cluster categories in certain cases.

Cited by

• Calabi-Yau structures on derived and singularity categories of symmetric orders
• Silting reduction, relative AGK's construction and Higgs construction

Related

• Stable categories of Cohen-Macaulay modules and cluster categories
• Two definable subcategories of maximal Cohen-Macaulay modules
• An equivalence linking CM-types A_∞ and D_∞
• The stabilized bounded N-derived category of an exact category
• Realising higher cluster categories of Dynkin type as stable module categories