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We study polarised degenerations of n-dimensional Calabi-Yau hypersurfaces{F0F1 ...Fm + tF = 0}, where the essential skeleton has dimension 1 ≤ m ≤ n − 1.We will describe the limiting behaviour of the Calabi-Yau potential at the C0-level,in terms of an optimal transport problem, and in terms of non-archimedean potentialtheory.
