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arXiv · 1808.03146

The filtered Ogus realisation of motives

Bruno Chiarellotto·Christopher Lazda·Nicola Mazzari
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Abstract

We construct the (filtered) Ogus realisation of Voevodsky motives over a number field $K$. This realisation extends the functor defined on $1$-motives by Andreatta, Barbieri-Viale and Bertapelle. As an illustration we note that the analogue of the Tate conjecture holds for K3 surfaces.

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Bruno Chiarellotto, Christopher Lazda, Nicola Mazzari. 2018-08-09. The filtered Ogus realisation of motives. https://doi.org/10.1016/j.jalgebra.2019.03.006

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