The irregularity of the direct image of some \({\mathcal D}\)-modules

DOI10.2977/prims/1166642192zbMath1132.32005OpenAlexW1999805592MaRDI QIDQ998131

Céline Roucairol

Publication date: 10 August 2007

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.prims/1166642192

zbMATH Keywords

irregularity complexirregular connections

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Sheaves of differential operators and their modules, (D)-modules (32C38)

Related Items

Formal structure of direct image of holonomic \({\mathcal{D}}\)-modules of exponential type ⋮ Bernstein polynomials and spectral numbers for linear free divisors ⋮ Integral representations for solutions of exponential Gauß-Manin systems

Cites Work

• Systems of microdifferential equations. Notes and transl. by Teresa Monteiro Fernandes. Introd. by Jean-Luc Brylinski
• Sur les points singuliers des équations différentielles
• On an irregular analogue of the Gauss-Manin connection
• Dwork cohomology and algebraic \(\mathcal D\)-modules
• Irregularity of an analogue of the Gauss-Manin systems
• On the comparison theorem for elementary irregular D-modules
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