For a p-adic hyperplane arrangement in a vector space V, we consider a local system of De Shalit on the Bruhat-Tits building of PGL(V). We express this local system in terms of Orlik-Solomon algebras, and calculate its cohomology in the case where the arrangement is finite.
|Number of pages||19|
|Journal||Israel Journal of Mathematics|
|State||Published - 2005|