2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104998We recall the projective variety parametrizing a family of special lattices over Witt vectors. It is normal and Gorenstein. In this article, we prove that there exists a particular set of subvarieties in it that are also normal and Gorenstein. The set contains the subregular variety.10 pages, modified introduction, corrected typosAlgebraic Geometrytext