Démonstration constructive de l'existence de polynômes de Bernstein–Sato pour plusieurs fonctions analytiques

DOI10.1112/S0010437X0400096XzbMath1099.32005arXivmath/0406260MaRDI QIDQ4660028

Rouchdi Bahloul

Publication date: 21 March 2005

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406260

zbMATH Keywords

analytic functionsBernstein-Sato polynomials\(\mathcal D\)-modulesanalytic Gröbner fan

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 (11)

Gröbner fan for analytic \(D\)-modules with parameters. ⋮ Some results on Bernstein-Sato polynomials for parametric analytic functions. ⋮ Local Gröbner fans ⋮ ON A BERNSTEIN–SATO POLYNOMIAL OF A MEROMORPHIC FUNCTION ⋮ Gröbner Bases in D-Modules: Application to Bernstein-Sato Polynomials ⋮ Comparison of theoretical complexities of two methods for computing annihilating ideals of polynomials ⋮ A flatness property for filtered \(D\)-modules ⋮ Bernstein-Sato ideals and local systems ⋮ Local Bernstein-Sato ideals: algorithm and examples ⋮ Combinatorial Description of the Roots of the Bernstein–Sato Polynomials for Monomial Ideals ⋮ Complements to Ample Divisors and Singularities

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