Algebraic solutions of the sixth Painleve equation

Details Algebraic solutions of the sixth Painleve equation Algebraic solutions of the sixth Painleve equation

2008-09-28

arxiv.org/abs/0809.4873v2

Mathematics

Classical Analysis and ODEs

53 pages, many figures

Scientific paper

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.

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