Mutation in triangulated categories and rigid Cohen Macaulay modules
Abstract
We introduce the notion of mutation of $n$-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.
- Publication:
-
Inventiones Mathematicae
- Pub Date:
- January 2008
- DOI:
- 10.1007/s00222-007-0096-4
- arXiv:
- arXiv:math/0607736
- Bibcode:
- 2008InMat.172..117I
- Keywords:
-
- Mathematics - Representation Theory;
- Mathematics - Commutative Algebra
- E-Print:
- 52 pages. To appear in Invent. Math