ScalingStacks

Theorem 6.1. [53] Let $X\to S\setminus\{0\}$ be a large complex structure limit of Calabi-Yau manifolds, with the polarization ample line bundle $L\to X$. Assume the NA MA-real MA comparison property holds for $X$ (cf. section 5.6). For sufficiently small $t\in S\setminus\{0\}$, there exists a special Lagrangian $T^{n}$-fibration with respect to the Calabi-Yau structure $(\omega_{CY,t},\Omega_{t})$ on an open subset of $X_{t}$ whose normalized Calabi-Yau measure tends to $100\%$ as $t\to 0$.