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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 …
Andrew Stout's user avatar
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 …
Andrew Stout's user avatar
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 …
Andrew Stout's user avatar
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 …
Andrew Stout's user avatar