2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62491This paper surveys, in the first place, some basic facts from the classification theory of normal complex singularities, including details for the low dimensions 2 and 3. Next, it describes how the toric singularities are located within the class of rational singularities, and recalls their main properties. Finally, it focuses, in particular, on a toric version of Reid's desingularization strategy in dimension threeLatex 2e, 32 pages, 4 eps-figures. To appear in actes de l'école d'été ``Géométrie des variétés toriques'' (Grenoble, 2000), collection Séminaires et Congr`es, SMF 2002. A preliminary version of these proceedings is available at http://www-fourier.ujf-grenoble.fr/~mbrion/ecole.htmlAlgebraic GeometryHistory and OverviewPrimary 14M25; Secondary 14B05, 32S0text