# 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} }

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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