2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147087Given a lattice polytope Q in R^n, we define an affine scheme M(Q) that reflects the possibilities of splitting Q into a Minkowski sum. On the other hand, Q induces a toric Gorenstein singularity Y, and we construct a flat family over M(Q) with Y as special fiber. In case Y has an isolated singularity only, this family is versal. (This revised version contains the proof now.)42 pages, LaTeXAlgebraic Geometrytext