Mixed Hodge modules on stacks
Abstract
Using the ∞-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 ∞-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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