Klein's curve
Abstract
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.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- October 2010
- DOI:
- 10.1088/1751-8113/43/43/434009
- arXiv:
- arXiv:0905.4202
- Bibcode:
- 2010JPhA...43Q4009B
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematical Physics;
- Mathematics - Representation Theory
- E-Print:
- 16 pages 5 figures. Final version makes connection with other known period matrices