Non-archimedean periods for log Calabi-Yau surfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913870798389248 |
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| author | Karwa, Soham Lai, Jonathan |
| author_facet | Karwa, Soham Lai, Jonathan |
| contents | We prove the first instance of a conjecture by Kontsevich-Soibelman that the non-archimedean period map recovers the analytic periods in the case of log Calabi-Yau surfaces. In particular, we show that the K-affine structure, a natural enhancement of the singular integral affine structure on the essential skeleton, determines the isomorphism type of the log Calabi-Yau surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01651 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-archimedean periods for log Calabi-Yau surfaces Karwa, Soham Lai, Jonathan Algebraic Geometry 14J26, 14J10, 14G22, 14T90, 14C30 We prove the first instance of a conjecture by Kontsevich-Soibelman that the non-archimedean period map recovers the analytic periods in the case of log Calabi-Yau surfaces. In particular, we show that the K-affine structure, a natural enhancement of the singular integral affine structure on the essential skeleton, determines the isomorphism type of the log Calabi-Yau surface. |
| title | Non-archimedean periods for log Calabi-Yau surfaces |
| topic | Algebraic Geometry 14J26, 14J10, 14G22, 14T90, 14C30 |
| url | https://arxiv.org/abs/2506.01651 |