On the characteristic variety of a holonomic system with regular singularities

DOI10.1016/0001-8708(79)90055-0zbMath0449.58019OpenAlexW2006445265MaRDI QIDQ1147413

Takahiro Kawai, Masaki Kashiwara

Publication date: 1979

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(79)90055-0

zbMATH Keywords

characteristic varietyHironakas resolution of singularitiesholonomic system of differential equationsholonomic system with singularities along a hypersurfacesheaf of linear differential operators of finite order on a complex manifold

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Complex manifolds (32Q99) Relations of PDEs on manifolds with hyperfunctions (58J15) Deformations of singularities (14B07) Propagation of singularities; initial value problems on manifolds (58J47) Complex singularities (32Sxx)

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Cites Work

• Micro-analyticity of the S-matrix and related functions
• B-functions and holonomic systems. Rationality of roots of B-functions
• Discontinuity formula and Sato's conjecture
• On the holonomic systems of linear differential equations. II
• The u=0 structure theorem
• Equations différentielles à points singuliers réguliers
• Finiteness theorem for holonomic systems of micro-differential equations
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