2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73979Explicit solutions to the Riemann-Hilbert problem will be found realising some irreducible non-rigid local systems. The relation to isomonodromy and the sixth Painleve equation will be described. Keywords: Riemann-Hilbert problem, Painleve equations, algebraic solutions, Heun equations, tetrahedral/octahedral group, triangle groups, Belyi maps.24 pages, 4 tables (more details, references updated)Differential GeometryMathematical PhysicsExactly Solvable and Integrable Systemstext