The filtered Ogus realisation of motives
Number Theory
2024-08-08 v2
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.
Cite
@article{arxiv.1808.03146,
title = {The filtered Ogus realisation of motives},
author = {Bruno Chiarellotto and Christopher Lazda and Nicola Mazzari},
journal= {arXiv preprint arXiv:1808.03146},
year = {2024}
}
Comments
final accepted version