Finite-gap solutions of the Fuchsian equation

Details Finite-gap solutions of the Fuchsian equation Finite-gap solutions of the Fuchsian equation

2003-10-29

arxiv.org/abs/math/0310465v2

Mathematics

Classical Analysis and ODEs

19 pages, LaTeX2e (AMSLaTeX)

Scientific paper

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.

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