Corpus ID: 218763272

Malgrange-Galois groupoid of Painlev\'e VI equation with parameters

  title={Malgrange-Galois groupoid of Painlev\'e VI equation with parameters},
  author={David Bl'azquez-Sanz and Guy Casale and Juan Sebasti'an D'iaz Arboleda},
  journal={arXiv: Differential Geometry},
  • David Bl'azquez-Sanz, Guy Casale, Juan Sebasti'an D'iaz Arboleda
  • Published 2020
  • Mathematics
  • arXiv: Differential Geometry
  • The Malgrange-Galois groupoid of Painleve 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 Painleve VI family including all parameters as new dependent variables. We conclude it is the pseoudogroup of transformations preserving parameter values, the differential of the independent variable, a volume form in the… CONTINUE READING