ScalingStacks

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Example 2.8. As an application we obtain a weight complex functor for the Chow weight structure

t:DMg​m⁡(k,ℚ)→Kb⁡(Chow⁡(k,ℚ)),t:\operatorname{DM}_{gm}(k,\mathbb{Q})\to\operatorname{K}^{b}(\operatorname{Chow}(k,\mathbb{Q})),

see Example 2.2(3). Here we use that DMg​m⁡(k,ℚ)\operatorname{DM}_{gm}(k,\mathbb{Q}) has an enhancement as a stable ∞\infty-category.

Original mathematics by the credited authors. Source collection and HTML conversion remain in progress.

Jens Niklas Eberhardt, Catharina Stroppel

Original source: arXiv:2109.00305v2