Cohomology of a stack
From HandWiki
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.
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.
See also
- l-adic sheaf
- smooth topology
References
- Gaitsgory, Dennis; Lurie, Jacob (2019), Weil's Conjecture for Function Fields, Annals of Mathematics Studies, 199, Princeton, NJ: Princeton University Press, http://www.math.harvard.edu/~lurie/papers/tamagawa.pdf
 |  |
