# Complexes, duality and Chern classes of logarithmic forms along hyperplane arrangements

@article{Denham2010ComplexesDA,
title={Complexes, duality and Chern classes of logarithmic forms along hyperplane arrangements},
author={Graham C. Denham and Mathias Schulze},
journal={arXiv: Algebraic Geometry},
year={2010}
}
• Published 23 April 2010
• Mathematics
• arXiv: Algebraic Geometry
We describe dualities and complexes of logarithmic forms and differentials for central affine and corresponding projective arrangements. We generalize the Borel-Serre formula from vector bundles to sheaves on projective d-space with locally free resolutions of length one. Combining these results we present a generalization of a formula due to Mustata and Schenck, relating the Poincare polynomial of an arrangement in projective 3-space (or a locally tame arrangement in projective d-space with…
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