2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120401We prove the irredcibility (and the rational connectedness) of the moduli spaces of (free) morphisms from a projective line to a successive blowing-up of a product of projective spaces if a suitable numerical condition on morphisms is provided (and also if all centers of the blowing-up are rationally connected).11 pagesAlgebraic Geometry14H10text