Tate, John Conjectures on algebraic cycles in \(\ell\)-adic cohomology. (English) Zbl 0814.14009 Jannsen, Uwe (ed.) et al., Motives. Proceedings of the summer research conference on motives, held at the University of Washington, Seattle, WA, USA, July 20-August 2, 1991. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 55, Pt. 1, 71-83 (1994). The author reviews the Tate-conjecture and what is known about it in special cases.For the entire collection see [Zbl 0788.00053]. Reviewer: G.Faltings (Bonn) Cited in 6 ReviewsCited in 64 Documents MSC: 14C25 Algebraic cycles 14F30 \(p\)-adic cohomology, crystalline cohomology 14F20 Étale and other Grothendieck topologies and (co)homologies Keywords:algebraic cycles; \(\ell\)-adic cohomology; etale cohomology; Tate- conjecture PDFBibTeX XMLCite \textit{J. Tate}, Proc. Symp. Pure Math. 55, 71--83 (1994; Zbl 0814.14009)