2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101998We study periodicity conditions of a rational map on $\bm{C}^d$ with $p$ invariants and show that a set of isolated periodic points and an algebraic variety of finife dimension do not exist in one map simultaneously if $p\ge d/2$. We also discuss in detail how the transition takes place between them.18 pages, content changed to improveMathematical PhysicsHigh Energy Physics - TheoryThe nature of manifolds of periodic points for higher dimensional integrable maps IItext