Explicit models for some stable categories of maximal Cohen-Macaulay modules Page 1 Math.
Res. Lett. Volume 23, Number 5, 1507–1526, 2016 Explicit models for some stable categories …

arXiv:1006.2021v2 [math.RA] 30 Jan 2012 Page 1 arXiv:1006.2021v2 [math.RA] 30 Jan 2012
EXPLICIT MODELS FOR SOME STABLE CATEGORIES OF MAXIMAL COHEN-MACAULAY …

In this paper we study extensions between Cohen–Macaulay modules for algebras arising
in the categorifications of Grassmannian cluster algebras. We prove that rank 1 modules are …

D= Homk (−, k) is the k-dual. In representation theory, there are two important classes of n-
CY triangulated categories. One is the generalized n-cluster categories [BMRRT, Am, G] …

Various classification theorems of thick subcategories of a triangulated category have been
obtained in many areas of mathematics. In this paper, as a higher-dimensional version of the …

We introduce the notion of origin extension which is a formal analogue of Cohen-Macaulay
approximation. However, as an approximation, origin extensions are not completely …

By Auslander's algebraic McKay correspondence, the stable category of Cohen-Macaulay
modules over a simple singularity is triangle equivalent to the $1 $-cluster category of the …

In a recent paper, Iyama and Yoshino considered two interesting examples of isolated
singularities over which it is possible to classify the indecomposable maximal Cohen …

Abstract Let (R, m, k)(R, m, k) be a complete Cohen–Macaulay local ring. In this paper, we
assign a numerical invariant, for any balanced big Cohen–Macaulay module, called hh ̲ …

We study a category C 2 C_2 of ZZ‐graded maximal Cohen‐Macaulay (MCM) modules over
the A∞ A_∞ curve singularity and demonstrate that it has infinite type AA cluster …