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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2018 Volume 14, 087, 34 pp. (Mi sigma1386)

This article is cited in 4 papers

Notes on Non-Generic Isomonodromy Deformations

Davide Guzzetti

SISSA, Via Bonomea 265 - 34136 Trieste, Italy

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.

MSC: 34M56; 34M35; 34M40

Received: April 17, 2018; in final form August 14, 2018; Published online August 21, 2018

Language: English

DOI: 10.3842/SIGMA.2018.087



Bibliographic databases:
ArXiv: 1804.05688


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