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arXiv · 2212.02128

Hodge structures through an étale motivic point of view

Ivan Rosas Soto
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Abstract

We define the category of étale Chow motives as the étale analogue of Grothendieck motives and proved that it embeds in $\text{DM}_{\text{ét}}(k)$. This construction provides a characterization of the generalized Hodge conjecture in terms of an étale analogue of it.

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Ivan Rosas Soto. 2024-01-29. Hodge structures through an étale motivic point of view. https://arxiv.org/abs/2212.02128

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