On the symmetry of \(b\)-functions of linear free divisors

DOI10.2977/PRIMS/15zbMath1202.14046arXiv0807.0560MaRDI QIDQ710652

Mathias Schulze, Michel Granger

Publication date: 20 October 2010

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.0560

zbMATH Keywords

prehomogeneous vector spaceb-functionlinear free divisor

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Representation theory for linear algebraic groups (20G05) Lie algebras of vector fields and related (super) algebras (17B66) de Rham cohomology and algebraic geometry (14F40)

Related Items (9)

Hodge ideals of free divisors ⋮ Local cohomology of logarithmic forms ⋮ Holonomic functions and prehomogeneous spaces ⋮ \(b\)-functions associated with quivers of type \textsf{A} ⋮ Duality of Gauß-Manin systems associated to linear free divisors ⋮ The \(b\)-functions of semi-invariants of quivers ⋮ Bernstein polynomials and spectral numbers for linear free divisors ⋮ Tautological systems and free divisors ⋮ A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors

Uses Software

• Macaulay2

Cites Work

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• Logarithmic cohomology of the complement of a plane curve
• Duality and comparison for logarithmic de Rham complexes with respect to free divisors.
• The analytic continuation of generalized functions with respect to a parameter
• On the logarithmic comparison theorem for integrable logarithmic connections
• Linear free divisors and Frobenius manifolds
• Filtrations de Hodge et par l'ordre du pôle pour les hypersurfaces singulières
• On the De Rham Cohomology of a Hypersurface Complement
• Testing the Logarithmic Comparison Theorem for Free Divisors
• Cohomology of the complement of a free divisor

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