Mutation in triangulated categories and rigid Cohen-Macaulay modules
Representation Theory
2015-06-26 v3 Commutative Algebra
Abstract
We introduce the notion of mutation of -cluster tilting subcategories in a triangulated category with Auslander-Reiten-Serre duality. Using this idea, we are able to obtain the complete classifications of rigid Cohen-Macaulay modules over certain Veronese subrings.
Cite
@article{arxiv.math/0607736,
title = {Mutation in triangulated categories and rigid Cohen-Macaulay modules},
author = {Osamu Iyama and Yuji Yoshino},
journal= {arXiv preprint arXiv:math/0607736},
year = {2015}
}
Comments
52 pages. To appear in Invent. Math