Algebraic solutions of the sixth Painleve equation
Classical Analysis and ODEs
2008-10-12 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We describe all finite orbits of an action of the extended modular group on conjugacy classes of SL(2,C)-triples. The result is used to classify all algebraic solutions of the general Painleve VI equation up to parameter equivalence.
Keywords
Cite
@article{arxiv.0809.4873,
title = {Algebraic solutions of the sixth Painleve equation},
author = {Oleg Lisovyy and Yuriy Tykhyy},
journal= {arXiv preprint arXiv:0809.4873},
year = {2008}
}
Comments
53 pages, many figures