2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80684We present a simple heuristic method to derive the Painlevé differential equations from the corresponding geometry of rational surafces. We also give a direct relationship between the cubic pencils and Seiberg-Witten curves.9 pages with 1 figure in EPSExactly Solvable and Integrable SystemsHigh Energy Physics - TheoryAlgebraic GeometryCubic Pencils and Painlevé Hamiltonianstext