Klein's curve

  title={Klein's curve},
  author={Harry W. Braden and Timothy P. Northover},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • H. Braden, T. Northover
  • Published 26 May 2009
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
Riemann surfaces with symmetries arise in many studies of integrable systems. We illustrate new techniques in investigating such surfaces by means of an example. By giving a homology basis well adapted to the symmetries of Klein's curve, presented as a plane curve, we derive a new expression for its period matrix. This is explicitly related to the hyperbolic model and results of Rauch and Lewittes. 

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