Bernstein polynomials and spectral numbers for linear free divisors

DOI10.5802/aif.2606zbMath1221.34237arXiv0905.0971OpenAlexW1662466612MaRDI QIDQ538802

Christian Sevenheck

Publication date: 26 May 2011

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

Full work available at URL: https://arxiv.org/abs/0905.0971

zbMATH Keywords

Bernstein polynomialBrieskorn latticelinear free divisorsspectral numbers

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (7)

Hodge ideals of free divisors ⋮ Local cohomology of logarithmic forms ⋮ \(b\)-functions associated with quivers of type \textsf{A} ⋮ Duality of Gauß-Manin systems associated to linear free divisors ⋮ Tautological systems and free divisors ⋮ Logarithmic Frobenius manifolds, hypergeometric systems and quantum 𝒟-modules ⋮ A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors

Uses Software

• SINGULAR

Cites Work

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• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• SINGULAR
• Nilpotent orbits of a generalization of Hodge structures

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