2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127773We study some Hamiltonian structures of the Garnier system in two variables from the viewpoints of its symmetry and holomorphy properties. We also give a generalization of {\it Okamoto transformation \it}of the sixth Painlevé system.31 pages, 8 figuresAlgebraic Geometry34M55; 34M45; 58F05; 32S65text