Bernstein-Sato polynomials and spectral numbers

DOI10.5802/aif.2322zbMath1130.32013OpenAlexW578464049MaRDI QIDQ2466310

Abramo Hefez, Andréa Guimarães

Publication date: 14 January 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2007__57_6_2031_0

zbMATH Keywords

Bernstein polynomialspectral numbersGauss-Manin connection and Brieskorn lattice

Mathematics Subject Classification ID

Topological invariants on manifolds (58K65) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Topological properties of mappings on manifolds (58K15)

Related Items

Bernstein–Sato functional equations, V-filtrations, and multiplier ideals of direct summands ⋮ Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules ⋮ Algorithms for checking rational roots of \(b\)-functions and their applications

Cites Work

• Singularités des systèmes différentiels de Gauss-Manin. Avec des contributions de Lo Kam Chan, Philippe Maisonobe et Jean-Etienne Rombaldi
• Racines de polynômes de Bernstein. (Zeros of Bernstein polynomials)
• On the structure of Brieskorn lattice
• Algorithme de calcul du polynome de Bernstein. Cas non dégéneré. (Algorithm of computation of Bernstein polynomials. The non-degenerate case)
• The complex exponent of a singularity does not change along strata mu=const
• B-functions and holonomic systems. Rationality of roots of B-functions
• On the theory of b-functions
• Bernstein polynomial and Tjurina number
• On \(b\)-function, spectrum and rational singularity
• The analytic continuation of generalized functions with respect to a parameter
• Monodromy of isolated singularities of hypersurfaces
• Intégrales asymptotiques et monodromie
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item