Abstract
For ap-adic hyperplane arrangement in a vector spaceV, we consider a local system of De Shalit on the Bruhat-Tits building ofPGL(V). We express this local system in terms of Orlik-Solomon algebras, and calculate its cohomology in the case where the arrangement is finite.
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References
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Alon, G. Cohomology of local systems coming fromp-adic hyperplane arrangements. Isr. J. Math. 147, 189–207 (2005). https://doi.org/10.1007/BF02785364
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DOI: https://doi.org/10.1007/BF02785364