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Finite-gap Solutions of the Fuchsian Equations

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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.

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  1. Department of Mathematics, St.-Petersburg State University of Aerospace Instrumentation, Bolshaya Morskaya str. 67, St.-Petersburg, 190000, Russia

    Alexander O. Smirnov

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  1. Alexander O. Smirnov
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Correspondence to Alexander O. Smirnov.

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Smirnov, A.O. Finite-gap Solutions of the Fuchsian Equations. Lett Math Phys 76, 297–316 (2006). https://doi.org/10.1007/s11005-006-0070-x

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