Nori motives (and mixed Hodge modules) with integral coefficients
Nori motives (and mixed Hodge modules) with integral coefficients
数学
Rapha?l Ruimy,Swann Tubach.Nori motives (and mixed Hodge modules) with integral coefficients[EB/OL].(2024-07-01)[2025-10-25].https://arxiv.org/abs/2407.01462.点此复制
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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