2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100860In this article, we study the group of autoequivalences of derived categories of coherent sheaves on the minimal resolution of $A_n$-singularities on surfaces. Our main result is to find generators of this group.final versionAlgebraic Geometry14J17; 14J29; 18E30; 32S25Autoequivalences of derived categories on the minimal resolutions of $A_n$-singularities on surfacestext