Hyperelliptic Prym Varieties and Integrable Systems

  title={Hyperelliptic Prym Varieties and Integrable Systems},
  author={Rui Ant{\'o}nio Loja Fernandes and 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 fiber of their momentum map. As an application we show that the general fiber of the momentum map of the periodic Volterra lattice ȧi = ai(ai−1 − ai+1), i = 1, . . . , n, an+1 = a1… CONTINUE READING