Cohomology of the complement of a free divisor
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Publication:4896188
DOI10.1090/S0002-9947-96-01690-XzbMath0862.32021MaRDI QIDQ4896188
Luis Narváez-Macarro, Francisco-Jesús Castro-Jiménez, D. M. Q. Mond
Publication date: 16 December 1996
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Complex surface and hypersurface singularities (32S25) de Rham cohomology and algebraic geometry (14F40) Global theory of complex singularities; cohomological properties (32S20) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)
Related Items (23)
Hodge ideals of free divisors ⋮ Maximal multihomogeneity of algebraic hypersurface singularities ⋮ Quasihomogeneity of isolated hypersurface singularities and logarithmic cohomology ⋮ Towards transversality of singular varieties: splayed divisors ⋮ Local cohomology of logarithmic forms ⋮ Deformation of singular Lagrangian subvarieties ⋮ Elliptic singularities on log symplectic manifolds and Feigin–Odesskii Poisson brackets ⋮ Quasi-free divisors and duality ⋮ Computing Milnor fiber monodromy for some projective hypersurfaces ⋮ Gröbner bases and logarithmic \(\mathcal D\)-modules. ⋮ Localization at hyperplane arrangements: combinatorics and \({\mathcal D}\)-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 ⋮ Rota-Baxter algebras, singular hypersurfaces, and renormalization on Kausz compactifications ⋮ De Rham cohomology of logarithmic forms on arrangements of hyperplanes ⋮ Characterizing normal crossing hypersurfaces ⋮ A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors
Cites Work
- Decktransformationen transnormaler Mannigfaltigkeiten
- Stability of \(C^ \infty\) mappings. V: Transversality
- Algebraic De Rham cohomology
- Finite Determinacy of Smooth Map-Germs
- Isosingular Loci and the Cartesian Product Structure of Complex Analytic Singularities
- Infective Envelopes and Inverse Polynomials
- On the De Rham cohomology of algebraic varieties
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