SYZ conjecture for Calabi-Yau hypersurfaces in the Fermat family (1912.02360v1)

Abstract: 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 $s\to +\infty$.