2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/89639Our previous work about algebraic-geometric invariants of the mixed states are extended and a stronger separability criterion is given. We also show that the Schmidt number of pure states in bipartite quantum systems, a classical concept, is actually an algebraic-geometric invariant.8 pages, no figure, minor changes in v2Quantum PhysicsSchmidt number of pure states in bipartite quantum systems as an algebraic-geometric invarianttext