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arXiv · 2506.01651

Non-archimedean periods for log Calabi-Yau surfaces

Soham Karwa·Jonathan Lai
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Abstract

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.

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Soham Karwa, Jonathan Lai. 2025-06-02. Non-archimedean periods for log Calabi-Yau surfaces. https://arxiv.org/abs/2506.01651

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