Non-archimedean periods for log Calabi-Yau surfaces
Algebraic Geometry
2025-06-03 v1
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.
Keywords
Cite
@article{arxiv.2506.01651,
title = {Non-archimedean periods for log Calabi-Yau surfaces},
author = {Soham Karwa and Jonathan Lai},
journal= {arXiv preprint arXiv:2506.01651},
year = {2025}
}
Comments
50 pages. Comments welcome!