A short proof of a theorem of Cotti, Dubrovin and Guzzetti

DOI10.4171/PM/2077WikidataQ113691959 ScholiaQ113691959MaRDI QIDQ2676519

Claude Sabbah

Publication date: 27 September 2022

Published in: Portugaliae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.16878

zbMATH Keywords

Laplace transformationStokes matrixmiddle extension

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Cites Work

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• Differential equations with polynomial coefficients
• Gauss-Manin systems, Brieskorn lattices and Frobenius structures. I.
• Isomonodromic Laplace transform with coalescing eigenvalues and confluence of Fuchsian singularities
• Topological computation of some Stokes phenomena on the affine line
• Isomonodromy deformations at an irregular singularity with coalescing eigenvalues

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