A rank two vector bundle associated to a three arrangement, and its Chern polynomial

DOI10.1006/aima.1999.1869zbMath0977.52029OpenAlexW2001919994MaRDI QIDQ1971629

Henry K. Schenck

Publication date: 9 January 2002

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/db0edf05bf112fc5e9e174cfbbb899bd5d0a2e6a

zbMATH Keywords

Poincaré polynomialvector bundleChern polynomialhyperplane arrangementsJacobian ideal

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items

Logarithmic bundles and line arrangements, an approach via the standard construction, Free divisors in a pencil of curves, Freeness of hyperplane arrangements and related topics, The module of logarithmic \(p\)-forms of a locally free arrangement, On Freeness of Divisors on ℙ², On the Jacobian ideal of an almost generic hyperplane arrangement

Cites Work

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• A free resolution of the module of derivations for generic arrangements
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• Vector bundles on complex projective spaces
• Direct methods for primary decomposition
• On the Poincaré polynomial of a complement of hyperplanes
• A Decomposition for Combinatorial Geometries