Relative singularity categories III: Cluster resolutions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866912532567949312 |
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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 |