2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69021We find a new class of the Fuchsian equations, which have an algebraic geometric solutions with the parameter belonging to a hyperelliptic curve. Methods of calculating the algebraic genus of the curve, and its branching points, are suggested. Numerous examples are given.19 pages, LaTeX2e (AMSLaTeX)Classical Analysis and ODEsMathematical PhysicsSpectral Theory33E30 (Primary); 34L40; 14H70 (Secondary)text