Lehrer, G. I. The \(l\)-adic cohomology of hyperplane complements. (English) Zbl 0770.14013 Bull. Lond. Math. Soc. 24, No. 1, 76-82 (1992). The cohomology ring of a complement of a union of hyperplanes in \(\mathbb{C}^ r\) with integral equations was studied by Brieskorn, Arnold and Orlik-Solomon. In this paper one gives similar results for the \(\ell\)- adic cohomology of the analogous variety over the algebraic closure of the prime field \(\mathbb{F}_ p\). Reviewer: N.Manolache (Bucureşti) Cited in 3 ReviewsCited in 19 Documents MSC: 14F30 \(p\)-adic cohomology, crystalline cohomology 14F45 Topological properties in algebraic geometry 20G40 Linear algebraic groups over finite fields 57S25 Groups acting on specific manifolds Keywords:\(\ell\)-adic cohomology; complement of a union of hyperplanes PDFBibTeX XMLCite \textit{G. I. Lehrer}, Bull. Lond. Math. Soc. 24, No. 1, 76--82 (1992; Zbl 0770.14013) Full Text: DOI