Abstract
We apply a lattice point counting method due to Blass and Sagan to compute the characteristic polynomials for k-equal subspace arrangements, the interpolations between the Coxeter hyperplane arrangements B n , D n , and A> −1 and the related l, h-equal and l, h, f-equal subspace arrangements. Our proofs provide combinatorial interpretations for the characteristic polynomials of these subspace arrangements. As a result, we are able to explore the interesting properties of these polynomials.
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