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user9072
user9072

Let k be a field. Is there a realization functor

$DM_{gm}(k,\mathbb{Z}/n)^{op} \to D^b_c(k, \mathbb{Z}/n)$

from category of motives to category of complexes of etaleétale sheaves of $\mathbb{Z}/n$ modules with bounded constructible cohomology sheaves?

Let k be a field. Is there a realization functor

$DM_{gm}(k,\mathbb{Z}/n)^{op} \to D^b_c(k, \mathbb{Z}/n)$

from category of motives to category of complexes of etale sheaves of $\mathbb{Z}/n$ modules with bounded constructible cohomology sheaves?

Let k be a field. Is there a realization functor

$DM_{gm}(k,\mathbb{Z}/n)^{op} \to D^b_c(k, \mathbb{Z}/n)$

from category of motives to category of complexes of étale sheaves of $\mathbb{Z}/n$ modules with bounded constructible cohomology sheaves?

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Grilo
Grilo
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Realisation functor

Let k be a field. Is there a realization functor

$DM_{gm}(k,\mathbb{Z}/n)^{op} \to D^b_c(k, \mathbb{Z}/n)$

from category of motives to category of complexes of etale sheaves of $\mathbb{Z}/n$ modules with bounded constructible cohomology sheaves?