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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 087, 34 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.087 (Mi sigma1386) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Notes on Non-Generic Isomonodromy Deformations

Davide Guzzetti

SISSA, Via Bonomea 265 - 34136 Trieste, Italy
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DOI: https://doi.org/10.3842/SIGMA.2018.087
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: isomonodromy deformations; Stokes phenomenon; Pfaffian system; coalescing eigenvalues; Schlesinger deformations.
Received: April 17, 2018; in final form August 14, 2018; Published online August 21, 2018
Bibliographic databases:
Document Type: Article
MSC: 34M56; 34M35; 34M40
Language: English
Citation: Davide Guzzetti, “Notes on Non-Generic Isomonodromy Deformations”, SIGMA, 14 (2018), 087, 34 pp.
Citation in format AMSBIB
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