Top Qs
Timeline
Chat
Perspective
Cohomology of a stack
From Wikipedia, the free encyclopedia
Remove ads
In algebraic geometry, the cohomology of a stack is a generalization of étale cohomology. In a sense, it is a theory that is coarser than the Chow group of a stack.
This article needs additional citations for verification. (March 2020) |
The cohomology of a quotient stack (e.g., classifying stack) can be thought of as an algebraic counterpart of equivariant cohomology. For example, Borel's theorem states that the cohomology ring of a classifying stack is a polynomial ring.
Remove ads
See also
References
- Gaitsgory, Dennis; Lurie, Jacob (2019), Weil's Conjecture for Function Fields (PDF), Annals of Mathematics Studies, vol. 199, Princeton, NJ: Princeton University Press, MR 3887650
Wikiwand - on
Seamless Wikipedia browsing. On steroids.
Remove ads