The six rank 3 Joshi-Kitaev-Treharne wild character varieties are affine cubic surfaces, each isomorphic to the corresponding rank 2 Painlevé wild character variety.
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Rank three representations of Painlev\'e systems: I. Wild character varieties
The six rank 3 Joshi-Kitaev-Treharne wild character varieties are affine cubic surfaces, each isomorphic to the corresponding rank 2 Painlevé wild character variety.