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Finite-gap Solutions of the Fuchsian Equations
Authors:Alexander O Smirnov
Institution:(1) Department of Mathematics, St.-Petersburg State University of Aerospace Instrumentation, Bolshaya Morskaya str. 67, St.-Petersburg, 190000, Russia
Abstract:We find a new class of Fuchsian equations, with algebro-geometric solutions associated to a hyperelliptic curve. A method for calculating its arithmetic genus and branching points is suggested. Numerous examples are given.
Keywords:33E30  34L40  14H70
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