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math-ph2000★ 2 cited
Hyperelliptic Prym Varieties and Integrable Systems
Rui Loja Fernandes, Pol Vanhaecke
We introduce two algebraic completely integrable analogues of the Mumford systems which we call hyperelliptic Prym systems, because every hyperelliptic Prym variety appears as a fi…
nlin.SI2000★ 43 cited
Backlund transformations for finite-dimensional integrable systems: a geometric approach
V. Kuznetsov, P. Vanhaecke
We present a geometric construction of Backlund transformations and discretizations for a large class of algebraic completely integrable systems. To be more precise, we construct f…