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Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
January 4, 2007, Moscow, Lomonosov Moscow State University, Steklov Mathematical Institute of RAS
 


Discrete analog of the Novikov–Veselov hierarchy

I. M. Krichever

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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.

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