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The filtered Ogus realisation of motives

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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… Click to show full abstract

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.

Keywords: realisation motives; ogus realisation; filtered ogus; realisation

Journal Title: Journal of Algebra
Year Published: 2019

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