2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162836In this article we prove that Fintushel-Stern's construction of Horikawa surface, which is obtained from an elliptic surface via a rational blow-down surgery in smooth category, can be performed in complex category. The main technique involved is Q-Gorenstein smoothings.10 pages, some corrections and Proposition 3.1 is addedAlgebraic GeometryGeometric Topology14J29, 14J10, 14J17text