2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120391A monoid hypersurface is an irreducible hypersurface of degree d which has a singular point of multiplicity d-1. Any monoid hypersurface admits a rational parameterization, hence is of potential interest in computer aided geometric design. We study properties of monoids in general and of monoid surfaces in particular. The main results include a description of the possible real forms of the singularities on a monoid surface other than the (d-1)-uple point. These results are applied to the classification of singularities on quartic monoid surfaces, complementing earlier work on the subject.22 pages, 4 figuresAlgebraic Geometry14J26 (Primary); 14J17, 14J70, 14P05 (Secondary)text