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arXiv · 2509.18281

Weights for $\mathrm{K}$-motives on stacks

Thiago Landim
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Abstract

We construct the Chow weight structure on a full subcategory of the category of $\mathrm{K}$-motives over a tame quotient stack in characteristic zero as defined by Hoyois. We also prove that in a quite general case, this full subcategory is exactly the category of geometric $\mathrm{K}$-motives. We apply this to give a partial Springer decomposition in the context of $\mathrm{K}$-motives.

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Thiago Landim. 2025-09-22. Weights for $\mathrm{K}$-motives on stacks. https://arxiv.org/abs/2509.18281

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