2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65520Let X be a normal projective variety admitting an action of a semisimple group with a unique closed orbit. We construct finitely many rational curves in X, all having a common point, such that every effective one-cycle on X is rationally equivalent to a unique linear combination of these curves with non-negative rational coefficients. When X is nonsingular, these curves are projective lines, and they generate the integral Chow group of one-cycles.LaTeX, 16 pagesAlgebraic Geometry14C25; 14E30; 14L30; 14M17text