Theorem 6.1 . [04Y6]
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Theorem 6.1.
Let be a maximally degenerate Calabi-Yau variety over of dimension , and assume that has a good dlt-model over with reduced special fiber. Then the non-archimedean SYZ fibration
associated with is an -dimensional affinoid torus fibration over the complement of some piecewise linear subset of of codimension . Moreover, the induced integral affine structure on is compatible with the canonical piecewise integral affine structure on (see (2)), in the sense that they give rise to the same piecewise integral affine functions on .