2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64597This is a continuation of "Rational curves on hypersurfaces of low degree", math.AG/0203088. We prove that if d^2+d+1 < n and d > 2, then for a general hypersurface X_d in P^n of degree d, for each degree e the space of rational curves of degree e on X is itself a rationally connected variety.47 pagesAlgebraic Geometry14N25; 14C05text