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Hyperelliptic Kleinian functions and applications

Victor Buchstaber·Victor Enolskii·Dmitri Leykin
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Abstract

We develop the theory of hyperelliptic Kleinian functions. As applications we consider construction of the explicit matrix realization of the hyperelliptic Kummer varieties, differential operators to have the hyperelliptic curve as spectral variety, solution of the KdV equations by Kleinian functions.

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Victor Buchstaber, Victor Enolskii, Dmitri Leykin. 1996-03-16. Hyperelliptic Kleinian functions and applications. https://arxiv.org/abs/solv-int/9603005

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