English

Description of generalized isomonodromic deformations of rank two linear differential equations using apparent singularities

Algebraic Geometry 2022-07-11 v6

Abstract

In this paper, we consider the generalized isomonodromic deformations of rank two irregular connections on the Riemann sphere. We introduce Darboux coordinates on the parameter space of a family of rank two irregular connections by apparent singularities. By the Darboux coordinates, we describe the generalized isomonodromic deformations as Hamiltonian systems.

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Cite

@article{arxiv.2003.08045,
  title  = {Description of generalized isomonodromic deformations of rank two linear differential equations using apparent singularities},
  author = {Arata Komyo},
  journal= {arXiv preprint arXiv:2003.08045},
  year   = {2022}
}

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56 pages