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Integrable deformations and degenerations of some irregular singularities

Abstract : Inspired by an article of Cotti, Dubrovin and Guzzetti arXiv:1706.04808, we extend to a degenerate case a result of Malgrange on integrable deformations of irregular singularities. We give an application to integrable deformations of the solution of some Birkhoff problem and apply it to the construction of Frobenius manifolds.
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https://hal-polytechnique.archives-ouvertes.fr/hal-02322296
Contributor : Claude Sabbah Connect in order to contact the contributor
Submitted on : Monday, October 21, 2019 - 3:44:45 PM
Last modification on : Saturday, June 25, 2022 - 9:13:03 PM

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Claude Sabbah. Integrable deformations and degenerations of some irregular singularities. Publications of the Research Institute for Mathematical Sciences, European Mathematical Society, 2021, 57 (3-4), pp.755-794. ⟨10.4171/PRIMS/57-3-2⟩. ⟨hal-02322296⟩

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