On the computation of Bernstein-Sato ideals.

DOI10.1016/j.jsc.2003.07.005zbMath1137.16304OpenAlexW2036104450MaRDI QIDQ2643531

José María Ucha Enríquez, Francisco-Jesús Castro-Jiménez

Publication date: 24 August 2007

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2003.07.005

zbMATH Keywords

Bernstein-Sato ideals

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Rings of differential operators (associative algebraic aspects) (16S32) Software, source code, etc. for problems pertaining to several complex variables and analytic spaces (32-04)

Related Items (7)

Bernstein-Sato Polynomials in Commutative Algebra ⋮ Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules ⋮ ON A BERNSTEIN–SATO POLYNOMIAL OF A MEROMORPHIC FUNCTION ⋮ Comparison of theoretical complexities of two methods for computing annihilating ideals of polynomials ⋮ The b-function of Reiffen’s (p,4) isolated singularity ⋮ Local Bernstein-Sato ideals: algorithm and examples ⋮ On Bernstein–Sato ideals for central line arrangements

Uses Software

• SINGULAR

Cites Work

• Non-commutative Gröbner bases in algebras of solvable type
• Algorithme de calcul du polynome de Bernstein. Cas non dégéneré. (Algorithm of computation of Bernstein polynomials. The non-degenerate case)
• B-functions and holonomic systems. Rationality of roots of B-functions
• An algorithm for de Rham cohomology groups of the complement of an affine variety via \(D\)-module computation
• An algorithm of computing \(b\)-functions
• SINGULAR: A computer algebra system for singularity theory, algebraic geometry and commutative algebra
• The analytic continuation of generalized functions with respect to a parameter
• Das Lemma von Poincaré für holomorphe Differentialformen auf komplexen Räumen
• Polynômes de Bernstein-Sato associés à une intersection complète quasi-homogène à singularité isolée
• Algorithm for computing Bernstein-Sato ideals associated with a polynomial mapping.
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