The paper proves that for log Calabi-Yau surfaces satisfying a genericity condition, the non-archimedean period map defined from the K-affine structure on the essential skeleton equals the classical algebraic period map.
Brown and Enrica Mazzon
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Non-archimedean periods for log Calabi-Yau surfaces
The paper proves that for log Calabi-Yau surfaces satisfying a genericity condition, the non-archimedean period map defined from the K-affine structure on the essential skeleton equals the classical algebraic period map.