2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150203For affine toric varieties, the vector space T1 (containing the infinitesimal deformations) will be interpreted via Minkowski summands of cross cuts of the defining polyhedral cone. This result will be applied to study the deformation theory of (in particular non-isolated) three-dimensional Gorenstein singularities.LaTeX 2.09; 16 pages; uses pb-diagram.styAlgebraic Geometry14B07, 14M25, 52B20One-parameter families containing three-dimensional toric Gorenstein singularitiestext