Finite-gap solutions of the Fuchsian equation
arXiv:math/0310465
Abstract
We 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)