The filtered Ogus realisation of motives
arXiv:1808.03146 · doi:10.1016/j.jalgebra.2019.03.006
Abstract
We construct the (filtered) Ogus realisation of Voevodsky motives over a number field . This realisation extends the functor defined on -motives by Andreatta, Barbieri-Viale and Bertapelle. As an illustration we note that the analogue of the Tate conjecture holds for K3 surfaces.
final accepted version