2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168454As the sequel to [3], we construct a minimal complex surface of general type with p_g=0, K^2=2 and H_1=Z/2Z using a rational blow-down surgery and Q-Gorenstein smoothing theory. We also present an example of p_g = 0,K^2 = 2 and H_1 = Z/3Z.A title is changed and a section is added; 8 pages, 4 figuresAlgebraic GeometryGeometric Topology14J29, 14J10, 14J17, 53D05text