Gröbner bases for \(D\)-modules on a non-singular affine algebraic variety

DOI10.2748/tmj/1178225300zbMath0889.13007OpenAlexW2085807207MaRDI QIDQ1362574

Toshinori Oaku

Publication date: 27 May 1998

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225300

zbMATH Keywords

Gröbner basesalgebraic differential operators

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Sheaves of differential operators and their modules, (D)-modules (32C38) Commutative rings of differential operators and their modules (13N10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (3)

Algorithms for the \(b\)-function and \(D\)-modules associated with a polynomial ⋮ Restrictions of Pfaffian systems for Feynman integrals ⋮ A localization algorithm for \(D\)-modules

Cites Work

• Non-commutative Gröbner bases in algebras of solvable type
• Systems of microdifferential equations. Notes and transl. by Teresa Monteiro Fernandes. Introd. by Jean-Luc Brylinski
• Differential equations with polynomial coefficients
• Computation of the characteristic variety and the singular locus of a system of differential equations with polynomial coefficients
• An algorithm for finding recurrence relations of binomial sums and its complexity
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• Gröbner basis and the problem of contiguous relations
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