A Lax Formalism for the Elliptic Difference Painlevé Equation

Abstract

A Lax formalism for the elliptic Painlevé equation is presented. The construction is based on the geometry of the curves on ${\mathbb{P}}^1\times {\mathbb{P}}^1$ and described in terms of the point configurations.

v3: introduction is extended, some errors are corrected; v4: published version

References in corpus (1)

• Quivers and difference Painleve equations