Logarithmic forms on affine arrangements

DOI10.1017/S002776300000533XzbMath0848.57022OpenAlexW1507255135MaRDI QIDQ4869963

Sergey Yuzvinsky, Hiroaki Terao

Publication date: 17 March 1996

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s002776300000533x

zbMATH Keywords

arrangementstwisted de Rham cohomologycharacteristic polynomialhyperplaneslocal systemlogarithmic differential formsAomoto-Kita-Orlik-Terao's vanishing theorem

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Algebraic topology on manifolds and differential topology (57R19)

Related Items (6)

Cohomology of the brieskorn-orlik-solomon algebras ⋮ A geometric deletion-restriction formula ⋮ Characteristic polynomials, \(\eta \)-complexes and freeness of tame arrangements ⋮ Localization at hyperplane arrangements: combinatorics and \({\mathcal D}\)-modules ⋮ The number of critical points of a product of powers of linear functions ⋮ De Rham cohomology of logarithmic forms on arrangements of hyperplanes

Cites Work

• A formula for the characteristic polynomial of an arrangement
• Algebraic and combinatorial aspects of the general theory of hypergeometric functions
• Generalized exponents of a free arrangement of hyperplanes and Shepherd- Todd-Brieskorn formula
• Arrangements and Milnor fibers
• Twisted de Rham cohomology groups of logarithmic forms
• Combinatorial construction of logarithmic differential forms

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