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Results tagged with grothendieck-topology
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user 2106
10
votes
1
answer
739
views
Stable motivic cohomology with finite coefficients?
In this question, which attracted no responces so far, I've asked whether it is possible to extend the Beilinson-Lichtenbaum etale descent rule for motivic cohomology to singular varieties, in particu …
- 15.6k
16
votes
1
answer
1k
views
Motivic cohomology with finite coefficients for singular varieties
Let $X$ be a smooth variety over a field $K$ whose characteristic does not divide a positive integer $m$. Then the motivic cohomology of $X$ with coefficients in $\mathbb Z/m(j)$ can be computed in t …
- 15.6k
5
votes
1
answer
2k
views
Zariski sheaves lifted to etale topology
Let $X$ be a "reasonable" scheme (I am particularly interested in smooth algebraic varieties over a field). Let $Zar_X$ denote the (small) Zariski site of (open subschemes of) $X$ and $Et_X$ denote t …
- 15.6k
13
votes
1
answer
1k
views
Grothendieck topologies, Mayer-Vietoris, and points
I am trying to think about certain problems in the theory of motives without having a proper background in Grothendieck topologies and the like, hoping to teach myself the related techniques in the pr …
- 15.6k