Relative singularity categories III: Cluster resolutions
Representation Theory
2025-08-13 v2 Commutative Algebra
Algebraic Geometry
Category Theory
Abstract
We build foundations of an approach to study canonical forms of -Calabi--Yau triangulated categories with cluster-tilting objects, using dg algebras and relative singularity categories. This is motivated by cluster theory, singularity categories, Wemyss's Homological Minimal Model Program and the relations between these topics.
Cite
@article{arxiv.2006.09733,
title = {Relative singularity categories III: Cluster resolutions},
author = {Martin Kalck and Dong Yang},
journal= {arXiv preprint arXiv:2006.09733},
year = {2025}
}
Comments
19 pages. To appear in Math. Z