On Amiot's conjecture
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866916376107548672 |
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| author | Keller, Bernhard Liu, Junyang |
| author_facet | Keller, Bernhard Liu, Junyang |
| contents | In a survey paper in 2011, Amiot proposed a conjectural characterisation of the cluster categories which were conceived in the mid 2000s to lift the combinatorics of Fomin-Zelevinsky's cluster algebras to the categorical level. This paper is devoted to a proof of (a variant of) her conjecture. More generally, cluster categories admit higher-dimensional and relative variants, the so-called Higgs categories recently introduced by Wu. We also prove higher-dimensional and relative variants of the conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_06538 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Amiot's conjecture Keller, Bernhard Liu, Junyang Representation Theory Commutative Algebra Algebraic Geometry K-Theory and Homology Symplectic Geometry 18G80, 16E35 In a survey paper in 2011, Amiot proposed a conjectural characterisation of the cluster categories which were conceived in the mid 2000s to lift the combinatorics of Fomin-Zelevinsky's cluster algebras to the categorical level. This paper is devoted to a proof of (a variant of) her conjecture. More generally, cluster categories admit higher-dimensional and relative variants, the so-called Higgs categories recently introduced by Wu. We also prove higher-dimensional and relative variants of the conjecture. |
| title | On Amiot's conjecture |
| topic | Representation Theory Commutative Algebra Algebraic Geometry K-Theory and Homology Symplectic Geometry 18G80, 16E35 |
| url | https://arxiv.org/abs/2311.06538 |