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The Malgrange–Galois groupoid of the Painlevé VI equation with parameters

The Malgrange–Galois groupoid of the Painlevé VI equation with parameters

Abstract The Malgrange–Galois groupoid of Painlevé IV equations is known to be, for very general values of parameters, the pseudogroup of transformations of the phase space preserving a volume form, a time form and the equation. Here we compute the Malgrange–Galois groupoid of the Painlevé VI family including all parameters …