Isomonodromic deformations along a stratum of the coalescence locus

@article{Guzzetti2021IsomonodromicDA,
  title={Isomonodromic deformations along a stratum of the coalescence locus},
  author={Davide Guzzetti},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2021},
  volume={55}
}
  • D. Guzzetti
  • Published 4 November 2021
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
We consider deformations of a differential system with Poincaré rank 1 at infinity and Fuchsian singularity at zero along a stratum of a coalescence locus. We give necessary and sufficient conditions for the deformation to be strongly isomonodromic, both as an explicit Pfaffian system (integrable deformation) and as a non linear system of PDEs on the residue matrix A at the Fuchsian singularity. This construction is complementary to that of (Cotti et al 2019 Duke Math. J. 168 967–1108). For the… 

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  • D. Guzzetti
  • Mathematics
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