  We produce special Lagrangian $T^n$-fibrations on the generic regions of some
Calabi-Yau hypersurfaces in the Fermat family $X_s=\{ Z_0\ldots Z_{n+1}+ e^{-s}
( Z_0^{n+2}+ \ldots Z_{n+1}^{n+2} ) =0 \}\subset \mathbb{CP}^{n+1} $ near the
large complex structure limit $s\to +\infty$.

Differential Geometry;Algebraic Geometry