2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62379Consider an algebraic torus of small dimension acting on an open subset of a complex vector space, or more generally on a quasiaffine variety such that a separated orbit space exists. We discuss under which conditions this orbit space is quasiprojective. One of our counterexamples provides a toric variety with enough effective invariant Cartier divisors that is not embeddable into a smooth toric variety.11 pages, 1 figureAlgebraic Geometry14L30, 14L24, 14M25, 14C20, 14E25text