2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66303This paper is a continuation of our paper math.AG/0205321 where we have built a combinatorial model for the torus fibrations of Calabi-Yau toric hypersurfaces. This part addresses the connection between the model torus fibration and the complex and Kähler geometry of the hypersurfaces.20 pages, 3 figures. Comments will be greatly appreciatedAlgebraic GeometryCombinatoricsDifferential Geometry14J32 (Primary) 14M25 (Secondary)text