Cubic Pencils and Painlev\'e Hamiltonians
Exactly Solvable and Integrable Systems
2007-05-23 v1 High Energy Physics - Theory
Algebraic Geometry
Abstract
We present a simple heuristic method to derive the Painlev\'e differential equations from the corresponding geometry of rational surafces. We also give a direct relationship between the cubic pencils and Seiberg-Witten curves.
Cite
@article{arxiv.nlin/0403009,
title = {Cubic Pencils and Painlev\'e Hamiltonians},
author = {Kenji Kajiwara and Tetsu Masuda and Masatoshi Noumi and Yasuhiro Ohta and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:nlin/0403009},
year = {2007}
}
Comments
9 pages with 1 figure in EPS