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.Comment: 53 pages, many figure

Lisovyy, Oleg

Tykhyy, Yuriy

English

arXiv

53 pages, many figuresWe 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 Painlevé VI equation up to parameter equivalence

Algebraic solutions of the sixth Painleve equation

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