Differential equations with irregular singular points in dimension two

DOI10.5802/aif.1386zbMath0803.32005OpenAlexW2092221921MaRDI QIDQ1337596

Claude Sabbah

Publication date: 10 November 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_5_1619_0

zbMATH Keywords

irregularitymeromorphic connectionreal blowing up

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Deformations of complex singularities; vanishing cycles (32S30) Ordinary differential equations in the complex domain (34M99)

Related Items

Integrable deformations and degenerations of some irregular singularities, Periods for flat algebraic connections, Periods for irregular singular connections on surfaces, Quadratic relations between periods of connections, Structure of formal meromorphic connections in several variables and semicontinuity of the irregularity, Irregularity and the period determinant for irregular singular connections on surfaces, Integral representations for solutions of exponential Gauß-Manin systems, Tempered solutions of \(\mathcal D\)-modules on complex curves and formal invariants, Isomonodromic Laplace transform with coalescing eigenvalues and confluence of Fuchsian singularities, Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials

Cites Work

• Asymptotic analysis for integrable connections with irregular singular points
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• Differential equations with polynomial coefficients
• La fonction zeta d'une monodromie
• Über formale komplexe Räume
• Polygône de Newton et $b$-fonctions pour les modules microdifférentiels
• The Integrability of the Characteristic Variety
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