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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.20400 |
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| _version_ | 1866917736546828288 |
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| author | Brown, Morgan V |
| author_facet | Brown, Morgan V |
| contents | We demonstrate the construction of singular log Calabi-Yau $4$-folds such that the dual complex of the boundary is homeomorphic to a Lens space from a log Calabi-Yau surface with action of a finite cyclic group. We explicitly obtain the Lens spaces $L(3,1)$, $L(5,1)$, and $L(5,2)$ in this way. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20400 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lens spaces as dual complexes of Log Calabi-Yau pairs Brown, Morgan V Algebraic Geometry We demonstrate the construction of singular log Calabi-Yau $4$-folds such that the dual complex of the boundary is homeomorphic to a Lens space from a log Calabi-Yau surface with action of a finite cyclic group. We explicitly obtain the Lens spaces $L(3,1)$, $L(5,1)$, and $L(5,2)$ in this way. |
| title | Lens spaces as dual complexes of Log Calabi-Yau pairs |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2407.20400 |