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math.DS2023★ 4 cited
Dynamics of the fifth Painlev{é} foliation
Emmanuel Paul, Jean-Pierre Ramis
The leaves of the Painlev{é} foliations appear as the isomonodromic deformations of a rank 2 linear connection on a moduli space of connections. Therefore they are the fibers of th…
math.DS2006★ 3 cited
The Galoisian envelope of a germ of foliation: the quasi-homogeneous case
Emmanuel Paul
We give geometric and algorithmic criterions in order to have of a proper Galois closure for a codimension one germ of quasi-homogeneous foliation. We recall this notion recently i…