Cohomology of local systems coming from p-adic hyperplane arrangements

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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.

Original languageEnglish
Pages (from-to)189-207
Number of pages19
JournalIsrael Journal of Mathematics
StatePublished - 2005
Externally publishedYes


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