English

Notes on Non-Generic Isomonodromy Deformations

Classical Analysis and ODEs 2018-08-28 v5 Mathematical Physics Complex Variables math.MP

Abstract

Some of the main results of [Cotti G., Dubrovin B., Guzzetti D., Duke Math. J., to appear, arXiv:1706.04808], concerning non-generic isomonodromy deformations of a certain linear differential system with irregular singularity and coalescing eigenvalues, are reviewed from the point of view of Pfaffian systems, making a distinction between weak and strong isomonodromic deformations. Such distinction has a counterpart in the case of Fuchsian systems, which is well known as Schlesinger and non-Schlesinger deformations, reviewed in Appendix A.

Keywords

Cite

@article{arxiv.1804.05688,
  title  = {Notes on Non-Generic Isomonodromy Deformations},
  author = {Davide Guzzetti},
  journal= {arXiv preprint arXiv:1804.05688},
  year   = {2018}
}

Comments

34 pages

R2 v1 2026-06-23T01:24:54.379Z