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Discrete analog of the Novikov–Veselov hierarchy

I. M. Krichever

Abstract: A construction of integrable potential two-dimensional discrete Schrodinger operators is proposed. These operators are defined by Baker–Akhiezer functions on algebaric curves with involution without fixed points. Application of discrete Novikov–Veselov hierarchy for the characterziation problem for Prym varieties will be discussed.


© Steklov Math. Inst. of RAS, 2024