A Lax Formalism for the Elliptic Difference Painlevé Equation

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

10.3842/SIGMA.2009.042

A Lax formalism for the elliptic Painlev\'e 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.

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