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)


14C25 Algebraic cycles
14F30 \(p\)-adic cohomology, crystalline cohomology
14F20 √Čtale and other Grothendieck topologies and (co)homologies