Let $X/K$ be a maximally degenerate projective Calabi–Yau variety, and let $\mathscr{X}/R$ be a minimal model of $X$ with reduced special fiber. Then the Berkovich retraction

$$\rho_{\mathscr{X}}:X^{\an}\longrightarrow\Sk(X)$$

is an affinoid torus fibration away from the codimension 2 locus of the triangulation induced by the homeomorphism $\Sk(X)\simeq\mathcal{D}(\mathscr{X}_{k})$.