A Lax Formalism for the Elliptic Difference Painlevé Equation

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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

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