Logarithmic Comparison Theorem and some Euler homogeneous free divisors

DOI10.1090/S0002-9939-04-07678-6zbMath1077.32012OpenAlexW2170644026MaRDI QIDQ4654058

José María Ucha Enríquez, Francisco-Jesús Castro-Jiménez

Publication date: 1 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07678-6

zbMATH Keywords

logarithmic differential formfree divisors

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Global theory of complex singularities; cohomological properties (32S20) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (5)

Algorithms for checking rational roots of \(b\)-functions and their applications ⋮ Gröbner bases and logarithmic \(\mathcal D\)-modules. ⋮ Duality and comparison for logarithmic de Rham complexes with respect to free divisors. ⋮ The b-function of Reiffen’s (p,4) isolated singularity ⋮ Linear free divisors and the global logarithmic comparison theorem

Cites Work

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• Logarithmic cohomology of the complement of a plane curve
• De Rham cohomology of logarithmic forms on arrangements of hyperplanes
• Testing the Logarithmic Comparison Theorem for Free Divisors
• Cohomology of the complement of a free divisor
• On the De Rham cohomology of algebraic varieties
• Explicit comparison theorems for \(\mathcal D\)-modules

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