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arxiv: 1801.10129 · v1 · submitted 2018-01-30 · 🧮 math.AG

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Motivic Hodge modules

Brad Drew
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classification 🧮 math.AG
keywords formalismfunctorsgrothendieckhodgemodulesmotivicsix-functoraddition
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We construct a quasi-categorically enhanced Grothendieck six-functor formalism on schemes of finite type over the complex numbers. In addition to satisfying many of the same properties as M. Saito's derived categories of mixed Hodge modules, this new six-functor formalism receives canonical motivic realization functors compatible with Grothendieck's six functors on constructible objects.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The Localization Theorem for the Motivic Homotopy Theory of Complex Analytic Stacks and other Geometric Settings

    math.AG 2026-05 unverdicted novelty 7.0

    Proves the localization theorem for motivic homotopy theory over complex analytic stacks and supplies general techniques for algebraic and differentiable stacks.