2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65810We present a concise proof for the existence and construction of a {\it strong resolution of excellent schemes} of finite type over a field of characteristic zero. Our proof is based on earlier work of Villamayor, Encinas-Villamayor and Bierstone-Milman. It apports some substantial simplifications which may be helpful for a better understanding of how to prove Hironaka's famous theorem.plain tex file. 20 pagesAlgebraic Geometry14E15, 14B05, 32S05, 32S10, 32S45text