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Hodge structures through an étale motivic point of view
Published 5 Dec 2022 in math.AG | (2212.02128v3)
Abstract: We define the category of \'etale Chow motives as the \'etale analogue of Grothendieck motives and proved that it embeds in $\text{DM}_{\text{\'et}}(k)$. This construction provides a characterization of the generalized Hodge conjecture in terms of an \'etale analogue of it.
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