Logarithmic cohomology of the complement of a plane curve

DOI10.1007/s00014-002-8330-6zbMath1010.32016OpenAlexW1982722340MaRDI QIDQ1601065

Francisco-Jesús Castro-Jiménez, Francisco Javier Calderón Moreno, D. M. Q. Mond, Luis Narváez-Macarro

Publication date: 17 June 2002

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00014-002-8330-6

zbMATH Keywords

plane curvefree divisorlogarithmic de Rham complexlocal quasi-homogeneity

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Global theory of complex singularities; cohomological properties (32S20) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (14)

Quasihomogeneity of isolated hypersurface singularities and logarithmic cohomology ⋮ Local cohomology of logarithmic forms ⋮ Quasi-free divisors and duality ⋮ Gröbner bases and logarithmic \(\mathcal D\)-modules. ⋮ Logarithmic Comparison Theorem and some Euler homogeneous free divisors ⋮ Logarithmic differential operators and logarithmic de rham complexes relative to a free divisor ⋮ Testing the Logarithmic Comparison Theorem for Free Divisors ⋮ The computation of the logarithmic cohomology for plane curves ⋮ On the symmetry of \(b\)-functions of linear free divisors ⋮ Duality and comparison for logarithmic de Rham complexes with respect to free divisors. ⋮ Logarithmic comparison theorem versus Gauss–Manin system for isolated singularities ⋮ Linear free divisors and the global logarithmic comparison theorem ⋮ Koszul Complexes and Pole Order Filtrations ⋮ A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors

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