On a reconstruction theorem for holonomic systems

DOI10.3792/pjaa.88.178zbMath1266.32012arXiv1208.6104OpenAlexW3101979198MaRDI QIDQ1949175

Masaki Kashiwara, Andrea D'Agnolo

Publication date: 25 April 2013

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.6104

zbMATH Keywords

Riemann-Hilbert problemind-sheavesStokes phenomenonholonomic \(\mathcal{D}\)-modules

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Sheaves of differential operators and their modules, (D)-modules (32C38) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (1)

Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules

Cites Work

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• The Riemann-Hilbert problem for holonomic systems
• An existence theorem for tempered solutions of \(\mathcal {D}\)-modules on complex curves
• Preconstructibility of Tempered Solutions of Holonomic 𝒟-modules
• Good formal structures for flat meromorphic connections, II: Excellent schemes
• Wild Harmonic Bundles and Wild Pure Twistor D-modules
• On the Laplace Transform for Tempered Holomorphic Functions
• Moderate and formal cohomology associated with constructible sheaves

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