2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94822Let X be a surface with quotient singularities which admits a smoothing to the plane. We prove that X is a deformation of a weighted projective plane P(a^2,b^2,c^2), where a,b,c is a solution of the Markov equation a^2+b^2+c^2=3abc. We also prove a generalisation for del Pezzo surfaces of degree K^2 at least 5.14 pagesAlgebraic Geometry14J10; 14E30text