# Klein's curve

@article{Braden2010KleinsC,
title={Klein's curve},
author={Harry W. Braden and Timothy P. Northover},
journal={Journal of Physics A},
year={2010},
volume={43},
pages={434009}
}
• Published 26 May 2009
• Mathematics
• Journal of Physics A
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.
9 Citations

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