Difference Krichever—Novikov Operators of Rank 2

G. S. Mauleshova; A. E. Mironov

doi:10.1134/S0081543819030118

Difference Krichever—Novikov Operators of Rank 2

G. S. Mauleshova, A. E. Mironov

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Abstract

The work is devoted to the study of one-point commuting difference operators of rank 2. In the case of hyperelliptic spectral curves, we obtain equations equivalent to the Krichever–Novikov equations for the discrete dynamics of the Tyurin parameters. Using these equations, we construct examples of operators corresponding to hyperelliptic spectral curves of arbitrary genus.

Original language	English
Pages (from-to)	195-208
Number of pages	14
Journal	Proceedings of the Steklov Institute of Mathematics
Volume	305
Issue number	1
DOIs	https://doi.org/10.1134/S0081543819030118
Publication status	Published - 1 May 2019

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abstract = "The work is devoted to the study of one-point commuting difference operators of rank 2. In the case of hyperelliptic spectral curves, we obtain equations equivalent to the Krichever–Novikov equations for the discrete dynamics of the Tyurin parameters. Using these equations, we construct examples of operators corresponding to hyperelliptic spectral curves of arbitrary genus.",

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Difference Krichever—Novikov Operators of Rank 2

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