Some incidence theorems and integrable discrete equations
Exactly Solvable and Integrable Systems
2014-08-27 v1
Abstract
Several incidence theorems of planar projective geometry are considered. It is demonstrated that generalizations of Pascal theorem due to M\"obius give rise to double cross-ratio equation and Hietarinta equation. The construction corresponding to the double cross-ratio equation is a reduction to a conic section of some planar configuration . This configuration provides a correct definition of the multidimensional quadrilateral lattices on the plane.
Cite
@article{arxiv.nlin/0409065,
title = {Some incidence theorems and integrable discrete equations},
author = {V. E. Adler},
journal= {arXiv preprint arXiv:nlin/0409065},
year = {2014}
}
Comments
12 p, 7 fig