Algebraic solutions of the sixth Painleve equation
By O. Lisovyy, Y. Tykhyy. 2008
134 citations recorded by the source corpus.
We describe all finite orbits of an action of the extended modular group $\bar{\Lambda}$ 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.
Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/6e074abf87d62eafe56ac7c19327f93f50a850bf
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In Geometry and Topology
In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Grothendieck’s dessins d’enfants, their deformations, and algebraic solutions of the sixth Painlevé and Gauss hypergeometric equations (2006, methodology): “Thus, the types of these functions are, respectively, as follows: R(2|1 + 1|1 + 1|2), R(|1 + 1|2|1 + 1|2), and R(2|2|1 + 1|1 + 1), where the third box is for t and the last is for the point at ∞.”