Relative singularity categories III: Cluster resolutions

Fuente: arXiv
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Main Authors: Kalck, Martin, Yang, Dong
Format: Preprint
Published: 2020
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author Kalck, Martin
Yang, Dong
author_facet Kalck, Martin
Yang, Dong
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2006_09733
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Relative singularity categories III: Cluster resolutions
Kalck, Martin
Yang, Dong
Representation Theory
Commutative Algebra
Algebraic Geometry
Category Theory
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.
title Relative singularity categories III: Cluster resolutions
topic Representation Theory
Commutative Algebra
Algebraic Geometry
Category Theory
url https://arxiv.org/abs/2006.09733