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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.06940 |
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| _version_ | 1866908906148593664 |
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| author | Crossley, Calum |
| author_facet | Crossley, Calum |
| contents | In this note we observe that the categorical structure of a flop occurs for some well-known non-commutative resolutions of a nodal curve. We describe the flop-flop spherical twists, and give a geometric interpretation in terms of Landau--Ginzburg models. The resolutions are all weakly crepant but not strongly crepant, and we formulate an intermediate condition that distinguishes the smaller ones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06940 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A categorical flop in dimension one Crossley, Calum Algebraic Geometry In this note we observe that the categorical structure of a flop occurs for some well-known non-commutative resolutions of a nodal curve. We describe the flop-flop spherical twists, and give a geometric interpretation in terms of Landau--Ginzburg models. The resolutions are all weakly crepant but not strongly crepant, and we formulate an intermediate condition that distinguishes the smaller ones. |
| title | A categorical flop in dimension one |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2505.06940 |