论文标题
通过典型的动机观点结构
Hodge structures through an étale motivic point of view
论文作者
论文摘要
我们将étaleChow动机的类别定义为Grothendieck动机的étale类似物,并证明它嵌入$ \ text {dm} _ {\ text {\ text {ét}}}(k)$。这种结构以典型的类似物的类似物来表征广义的霍奇猜想。
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.