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Relative singularity categories III: Cluster resolutions
Published 17 Jun 2020 in math.RT, math.AC, math.AG, and math.CT | (2006.09733v1)
Abstract: We build foundations of an approach to study canonical forms of $2$-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.
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