Gröbner deformations of regular holonomic systems
DOI10.3792/pjaa.74.111zbMath0946.13022OpenAlexW2083153245MaRDI QIDQ1281901
Nobuki Takayama, Bernd Sturmfels, Mutsumi Saito
Publication date: 3 May 1999
Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3792/pjaa.74.111
Gröbner bases\(D\)-modulesholonomic systemshypergeometric differential equationGröbner fanGröbner deformationregular holonomic cyclic module
Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32)
Uses Software
Cites Work
- Computation of the characteristic variety and the singular locus of a system of differential equations with polynomial coefficients
- Isolated points, duality and residues
- On holonomic systems of microdifferential equations. III: Systems with regular singularities
- Gröbner deformations of hypergeometric differential equations
- GKZ-generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces
- Equations différentielles à points singuliers réguliers
- The Integrability of the Characteristic Variety
- Gröbner Duality and multiple points in linearly general position
- Algorithms for \(D\)-modules -- restriction, tensor product, localization, and local cohomology groups
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