Cohomology of local systems coming from p-adic hyperplane arrangements

Gil Alon

doi:10.1007/BF02785364

Cohomology of local systems coming from p-adic hyperplane arrangements

Gil Alon

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	189-207
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	147
DOIs	https://doi.org/10.1007/BF02785364
State	Published - 2005
Externally published	Yes

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abstract = "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.",

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Cohomology of local systems coming from p-adic hyperplane arrangements

Abstract

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