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arXiv · 2407.02256

Mixed Hodge modules on stacks

Swann Tubach
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Abstract

Using the $\infty$-categorical enhancement of mixed Hodge modules constructed by the author in a previous paper, we explain how mixed Hodge modules canonically extend to algebraic stacks, together with all the $6$ operations and weights. We also prove that Drew's approach to motivic Hodge modules gives an $\infty$-category that embeds fully faithfully in mixed Hodge modules, and we identify the image as mixed Hodge modules of geometric origin.

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Swann Tubach. 2024-07-02. Mixed Hodge modules on stacks. https://doi.org/10.1017/fms.2025.10122

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