Quiver braid group action for a 3-fold crepant resolution
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910111446859776 |
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| author | Donovan, Will Zheng, Luyu |
| author_facet | Donovan, Will Zheng, Luyu |
| contents | The 3-fold cyclic quotient singularity denoted $\tfrac{1}{7}(1,2,4)$ admits a crepant resolution X with three exceptional Hirzebruch surfaces intersecting pairwise along curves. We show that the derived category D(X) carries a faithful action of a quiver braid group, where the relevant quiver is a 3-cycle encoding the intersection data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19140 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quiver braid group action for a 3-fold crepant resolution Donovan, Will Zheng, Luyu Algebraic Geometry Primary 14F08, Secondary 14J32, 18G80 The 3-fold cyclic quotient singularity denoted $\tfrac{1}{7}(1,2,4)$ admits a crepant resolution X with three exceptional Hirzebruch surfaces intersecting pairwise along curves. We show that the derived category D(X) carries a faithful action of a quiver braid group, where the relevant quiver is a 3-cycle encoding the intersection data. |
| title | Quiver braid group action for a 3-fold crepant resolution |
| topic | Algebraic Geometry Primary 14F08, Secondary 14J32, 18G80 |
| url | https://arxiv.org/abs/2512.19140 |