English

A Lax Formalism for the Elliptic Difference Painlev\'e Equation

Algebraic Geometry 2009-04-08 v4 Classical Analysis and ODEs Dynamical Systems

Abstract

A Lax formalism for the elliptic Painlev\'e equation is presented. The construction is based on the geometry of the curves on P1×P1{\mathbb P}^1\times{\mathbb P}^1 and described in terms of the point configurations.

Cite

@article{arxiv.0811.1796,
  title  = {A Lax Formalism for the Elliptic Difference Painlev\'e Equation},
  author = {Yasuhiko Yamada},
  journal= {arXiv preprint arXiv:0811.1796},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T11:40:33.567Z