2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149839We propose a combinatorical duality for lattice polyhedra which conjecturally gives rise to the pairs of mirror symmetric families of Calabi-Yau complete intersections in toric Fano varieties with Gorenstein singularities. Our construction is a generalization of the polar duality proposed by Batyrev for the case of hypersurfaces.6 pages, Latex fileAlgebraic Geometrytext