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Results tagged with cohomology
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user 2024
A branch of algebraic topology concerning the study of cocycles and coboundaries. It is in some sense a dual theory to homology theory. This tag can be further specialized by using it in conjunction with the tags group-cohomology, etale-cohomology, sheaf-cohomology, galois-cohomology, lie-algebra-cohomology, motivic-cohomology, equivariant-cohomology, ...
12
votes
Accepted
Examples of Galois-invariant central simple algebras which aren't base change?
[big edit]
(1) Let $L/K$ be as above. Take any non-identity element $\sigma \in G_{L/K}$, and let $F=L^{<\sigma>}$ be the fixed field of the cyclic subgroup generated by $\sigma$. By your comment abo …
4
votes
2
answers
436
views
Can an abelian variety be represented as the cohomology of some other object?
I mean without taking cohomology of the variety like everyone else does... … Maybe it arises as the $n$-th cohomology of some interesting sheaf of some interesting related variety? …