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arXiv · 2407.01462

Nori motives (and mixed Hodge modules) with integral coefficients

Raphaël Ruimy·Swann Tubach
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Abstract

We construct abelian categories of integral Nori motivic sheaves over a scheme of characteristic zero. The first step is to study the presentable derived category of Nori motives over a field. Next we construct an algebra in \'etale motives such that modules over it afford a t-structure that restricts to constructible objects. This category of integral Nori motives has the six operations and arc-descent. We finish by providing analogous constructions and results for mixed Hodge modules on schemes over the reals.

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BibTeXRIS

Raphaël Ruimy, Swann Tubach. 2024-07-01. Nori motives (and mixed Hodge modules) with integral coefficients. https://arxiv.org/abs/2407.01462

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