I review topics of my talk in Alcalá, inspired by the paper [1]. An isomonodromic system with irregular singularity at z=∞ (and Fuchsian at z=0) is considered, such that z=∞ becomes resonant for some values of the deformation parameters. Namely, the eigenvalues of the leading matrix at z=∞ coalesce along a locus in the space of deformation parameters. I give a complete extension of the isomonodromy deformation theory in this case.

Deformations with a resonant irregular singularity / Guzzetti, Davide. - 256(2018), pp. 239-250. ((Intervento presentato al convegno Conference on Formal and Analytic Solutions of Diff. Equations, FASdiff 2017 tenutosi a Alcalá de Henares, Spain nel September 2017 [10.1007/978-3-319-99148-1_14].

Deformations with a resonant irregular singularity

Guzzetti, Davide
2018

Abstract

I review topics of my talk in Alcalá, inspired by the paper [1]. An isomonodromic system with irregular singularity at z=∞ (and Fuchsian at z=0) is considered, such that z=∞ becomes resonant for some values of the deformation parameters. Namely, the eigenvalues of the leading matrix at z=∞ coalesce along a locus in the space of deformation parameters. I give a complete extension of the isomonodromy deformation theory in this case.
Formal and Analytic Solutions of Diff. Equations. FASdiff 2017
256
239
250
978-3-319-99147-4
978-3-319-99148-1
https://link.springer.com/chapter/10.1007/978-3-319-99148-1_14
Springer New York LLC
Guzzetti, Davide
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/87734
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