2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136255We study the dominant rational maps from a general surface in P^{3} to surfaces of general type. We prove restrictions on the target surfaces, and special properties of the rational maps. We show that for a small degree the general surface has no such map. Moreover a slight improvement of a result of Catanese, on the number of moduli of a surface of general type, is also obtained.19 pages, accepted in Advances in GeometryAlgebraic Geometry14E05, 14J29text