De Rham cohomology of logarithmic forms on arrangements of hyperplanes

DOI10.1090/S0002-9947-97-01894-1zbMath0948.52014MaRDI QIDQ3127271

Jonathan Wiens, Sergey Yuzvinsky

Publication date: 8 April 1997

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

zbMATH Keywords

Orlik-Solomon algebrade Rham cohomologyhyperplane arrangementscomplex of logarithmic differential forms

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of matroids and geometric lattices (05B35) de Rham cohomology and algebraic geometry (14F40)

Related Items (6)

Local cohomology of logarithmic forms ⋮ Lie-Rinehart and Hochschild cohomology for algebras of differential operators ⋮ Computing Milnor fiber monodromy for some projective hypersurfaces ⋮ Localization at hyperplane arrangements: combinatorics and \({\mathcal D}\)-modules ⋮ Logarithmic Comparison Theorem and some Euler homogeneous free divisors ⋮ Linear free divisors and the global logarithmic comparison theorem

Cites Work

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• A formula for the characteristic polynomial of an arrangement
• A free resolution of the module of logarithmic forms of a generic arrangement
• Combinatorics and topology of complements of hyperplanes
• Arrangements and Milnor fibers
• On generators of the module of logarithmic 1-forms with poles along an arrangement
• Cohomology of Local Sheaves on Arrangement Lattices
• Logarithmic forms on affine arrangements
• Cohomology of the complement of a free divisor
• On the De Rham cohomology of algebraic varieties

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