Dynamics of the Sixth Painlev\'e Equation
Algebraic Geometry
2017-10-20 v2 Dynamical Systems
Abstract
The sixth Painlev\'e equation is hiding extremely rich geometric structures behind its outward appearance. This article tries to give as a total picture as possible of its dynamical natures, based on the Riemann-Hilbert approach recently developed by the authors, using various techniques from algebraic geometry. A good part of the contents is extended to Garnier systems, while this article is restricted to the original sixth Painlev\'e equation.
Keywords
Cite
@article{arxiv.math/0501007,
title = {Dynamics of the Sixth Painlev\'e Equation},
author = {Michi-aki Inaba and Katsunori Iwasaki and Masa-Hiko Saito},
journal= {arXiv preprint arXiv:math/0501007},
year = {2017}
}
Comments
56 pages, 18 figures, reference updated