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}
}
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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