2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109145For a Fano manifold of pseudo-index at least 3 and $c_1^2-2c_2$ nef, we show irreducibility of certain spaces of curves on the Fano manifold implies the manifold is a union of rational surfaces.5 pagesAlgebraic Geometry14J45; 14C05Higher Fano manifolds and rational surfacestext