Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 5 (2009), 042, 15 pages      arXiv:0811.1796      https://doi.org/10.3842/SIGMA.2009.042
Contribution to the Proceedings of the Workshop “Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions”

A Lax Formalism for the Elliptic Difference Painlevé Equation

Yasuhiko Yamada
Department of Mathematics, Faculty of Science, Kobe University, Hyogo 657-8501, Japan

Received November 20, 2008, in final form March 25, 2009; Published online April 08, 2009

Abstract
A Lax formalism for the elliptic Painlevé equation is presented. The construction is based on the geometry of the curves on P1 × P1 and described in terms of the point configurations.

Key words: elliptic Painlevé equation; Lax formalism; algebraic curves.

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References

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