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1
vote
Accepted
Vanishing of Motivic Cohomology
I know very little, but my impression from looking at these lecture notes is that it vanishes for non-negative p simply by using bullet (4). Bullet (4) follows from Theorem 2.9 on the previous page wh …
1
vote
1
answer
478
views
formally étale morphisms which are also universally closed
A morphism of schemes which is formally unramified, universally closed, and a monomorphism is a closed immersion. Is it possible to characterize morphisms which are formally etale and universally clos …
5
votes
Learning a little Motivic Cohomology
My understanding is that motivic cohomology has the ability to describe integral values of L-functions up to a constant (and specifically values of zeta functions up to a sign). An example would be …
3
votes
2
answers
524
views
1st cech cohomology groups on ringed sites
Let $(C, O)$ be a ringed site -- i.e., $C$ is a small category with a grothendieck topology $\tau$ and $O$ a sheaf of rings on the site $(C,\tau)$. In this context, for any object $U$ of $C$ one can d …