Finite-gap solutions of the Fuchsian equation
Classical Analysis and ODEs
2007-05-23 v2 Mathematical Physics
math.MP
Spectral Theory
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.
Keywords
Cite
@article{arxiv.math/0310465,
title = {Finite-gap solutions of the Fuchsian equation},
author = {Alexander O. Smirnov},
journal= {arXiv preprint arXiv:math/0310465},
year = {2007}
}
Comments
19 pages, LaTeX2e (AMSLaTeX)