2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/231514We study blowups of affine n-space with center an arbitrary monomial ideal and call monomial ideals that render smooth blowups tame ideals. We give a combinatorial criterion to decide whether the blowup is smooth and apply this criterion to discuss a smoothing procedure proposed by Rosenberg, monomial building sets and permutohedra.22 pages, 4 figuresAlgebraic GeometryCombinatorics14E15; 14M25text