Gröbner fan for analytic \(D\)-modules with parameters.

DOI10.3792/pjaa.82.34zbMath1104.32011arXivmath/0310369OpenAlexW1979182307MaRDI QIDQ863740

Rouchdi Bahloul

Publication date: 7 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0310369

zbMATH Keywords

differential operatorsstandard basesGröbner fans

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) Rings of differential operators (associative algebraic aspects) (16S32) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (1)

Some results on Bernstein-Sato polynomials for parametric analytic functions.

Cites Work

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• Some results on Bernstein-Sato polynomials for parametric analytic functions.
• The Gröbner fan of an ideal
• Algorithms for the \(b\)-function and \(D\)-modules associated with a polynomial
• The Gröbner fan of an \(A_n\)-module
• Local generic Bernstein-Sato polynomial
• Démonstration constructive de l'existence de polynômes de Bernstein–Sato pour plusieurs fonctions analytiques
• Reduction Mod p of Standard Bases
• The analytic standard fan of a \(\mathcal D\)-module
• Constructibility of the set of polynomials with a fixed Bernstein-Sato polynomial: an algorithmic approach.

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