2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149975A notion of duality of weight systems which corresponds to Batyrev's toric mirror symmetry is given. Explicit duality on the (1,1)-cohomology of K3 surfaces which are minimal models of toric hypersurfaces is constructed using monomial divisor mirror map of Aspinwall-Greene-Morrison. It is shown that Arnold's strange duality for exceptional unimodal singularities reduces to this duality.22 pages, AmSTeX2.1Algebraic Geometrytext