Cluster automorphism group of braid varieties
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866911714758361088 |
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| author | Kim, Soyeon |
| author_facet | Kim, Soyeon |
| contents | The cluster automorphism group of a cluster variety was defined by Gekhtman--Shapiro--Vainshtein, and later studied by Lam--Speyer. Braid varieties are interesting affine algebraic varieties indexed by positive braid words. It was proved recently that braid varieties are cluster varieties. In this paper, we propose a description of the cluster automorphism group and its action on braid varieties, and compute several examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14889 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cluster automorphism group of braid varieties Kim, Soyeon Combinatorics Algebraic Geometry The cluster automorphism group of a cluster variety was defined by Gekhtman--Shapiro--Vainshtein, and later studied by Lam--Speyer. Braid varieties are interesting affine algebraic varieties indexed by positive braid words. It was proved recently that braid varieties are cluster varieties. In this paper, we propose a description of the cluster automorphism group and its action on braid varieties, and compute several examples. |
| title | Cluster automorphism group of braid varieties |
| topic | Combinatorics Algebraic Geometry |
| url | https://arxiv.org/abs/2505.14889 |