2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64592In this note we prove that a smooth order satisfying the reverse geometric engineering of singularities conditions in stringtheory (in any compactifying dimension) is Auslander regular. Moreover, we classify the etale local structure of smooth orders over an isolated central singularity.Section added. Comm. Alg. (to appear)Rings and Algebras16G20; 16H05text