Generalized special Lagrangian torus fibration for Calabi-Yau hypersurfaces in toric varieties II

Let (P∆, ω) be a toric variety whose moment map image (with respect to the toric Kähler form ω) is the real convex polyhedron ∆ ⊂ MR. Also assume that the anti-canonical class of P∆ is represented by an integral reflexive convex polyhedron ∆0 ⊂ M and the unique interior point of ∆0 is the origin of M . Integral points m ∈ ∆0 correspond to holomorphic toric sections sm of the anticanonical bundle. For the unique interior point mo of ∆0, smo is the section of the anti-canonical bundle that vanishes to order 1 along each toric divisor of P∆.