paper

Relative singularity categories III: Cluster resolutions

arXiv:2006.09733

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.

19 pages. To appear in Math. Z

Relative singularity categories III: Cluster resolutions · wovepaper