For an essential hyperplane arrangement, the sheaf homology of its intersection lattice with coefficients in the exterior powers of the natural sheaf is concentrated on one diagonal, with dimensions given by derivatives of the characteristic polynomial at 1.
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Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers
For an essential hyperplane arrangement, the sheaf homology of its intersection lattice with coefficients in the exterior powers of the natural sheaf is concentrated on one diagonal, with dimensions given by derivatives of the characteristic polynomial at 1.