The Stokes Structure of a good meromorphic flat bundle

DOI10.1017/S1474748011000065zbMath1227.32011OpenAlexW2107690220MaRDI QIDQ3012894

Takuro Mochizuki

Publication date: 7 July 2011

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1474748011000065

zbMATH Keywords

good latticeRiemann-Hilbert-Birkhoff correspondenceStokes structuresmeromorphic flat bundle

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items (7)

Integrable deformations and degenerations of some irregular singularities ⋮ Moduli of Stokes torsors and singularities of differential equations ⋮ A boundedness theorem for nearby slopes of holonomic -modules ⋮ Harmonic bundles and Toda lattices with opposite sign. II ⋮ Isomonodromic Laplace transform with coalescing eigenvalues and confluence of Fuchsian singularities ⋮ Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials ⋮ Convergence Polygons for Connections on Nonarchimedean Curves

Cites Work

• Unnamed Item
• Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
• Asymptotic analysis for integrable connections with irregular singular points
• Le théorème de comparaison entre cohomologies de de Rham d'une variété algébrique complexe et le théorème d'existence de Riemann. (The comparison theorem between de Rham cohomologies and the Riemann existence theorem)
• Moduli spaces for linear differential equations and the Painlevé equations
• On Deligne-Malgrange lattices, resolution of turning points and harmonic bundles
• Good formal structures for flat meromorphic connections. I: Surfaces
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Jordan decomposition for a class of singular differential operators
• Über formale komplexe Räume
• Meromorphic connections. II: The canonic grid
• Le complété formel d'un espace analytique le long d'un sous-espace: un théorème de comparaison. (The formal completion of an analytic space along a subspace: A comparison theorem)
• Equations différentielles à points singuliers réguliers
• Good formal structures for flat meromorphic connections, II: Excellent schemes
• On the De Rham cohomology of algebraic varieties

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