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
2018-01-01
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.| File | Dimensione | Formato | |
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