Mutation in triangulated categories and rigid Cohen–Macaulay modules Page 1 DOI:
10.1007/s00222-007-0096-4 Invent. math. 172, 117–168 (2008) Mutation in triangulated …

The study of Cohen-Macaulay modules over Noetherian local rings originates from the
theory of integral representations of finite groups (which, on its side, grew up from a very …

We propose a new method of classifying vector bundles on projective curves, especially
singular ones, according to their “representation type.” In particular, we prove that the …

In this paper we prove that, for every r≥ 2, the moduli space MsX (r; _c_1, _c_2) of rank r
stable vector bundles with Chern classes _c_1= rH and _c_2= 1/2 (3_r_2− r) on a …

Throughout we fix an arbitrary field K. Given a finite-dimensional K-algebra R, we denote by
Mod R the category of right R-modules, and by mod R the full subcategory of Mod R whose …

Inspired by recent results of Ringel–Schmidmeier, Kussin–Lenzing–Meltzer, Xiao-Wu Chen,
and Pu Zhang, given a field K, m≥ 1, and a finite poset I≡(I,⪯) with a unique maximal …

This article is an extended and completed version of the second part of the joint survey
lecture with Yu. Drozd on Cohen-Macaulay modules over Cohen-Macaulay algebras …

In this paper we consider the problem of Cohen-Macaulay module type for orders or for
Cohen-Macaulay algebras A which occur as local rings of reduced curve singularities. It is …

Let D be a complete discrete valuation domain which is an algebra over an algebraically
closed field K. We study in the paper a class of suborders Λ of tiled D-orders by means of a …

Throughout this paper we assume that K is a field. Given a K-algebra A we denote by mod
(A) the category of finitely generated right A-modules and by fin (A) the full subcategory of …