Abstract
We express the cohomology of the complement of a real subspace arrangement of diagonal linear subspaces in terms of the Betti numbers of a minimal free resolution. This leads to formulas for the cohomology in some cases, and also to a cohomology vanishing theorem valid for all arrangements.
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Peeva, I., Reiner, V. & Welker, V. Cohomology of Real Diagonal Subspace Arrangements via Resolutions. Compositio Mathematica 117, 107–123 (1999). https://doi.org/10.1023/A:1000949217231
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DOI: https://doi.org/10.1023/A:1000949217231