2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69821Let X be a smooth complex projective surface. We prove that for any sufficiently big m there exists a rational dominant map f from X into a complex rational ruled surface Y, such that f is generically finite of degree m and has monodromy the alternating group Am.17 pagesAlgebraic Geometry14H30;12F05text