• Source: Cohomology of a stack

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 (PDF), Annals of Mathematics Studies, vol. 199, Princeton, NJ: Princeton University Press, MR 3887650

Kata Kunci Pencarian:

• Daftar masalah matematika yang belum terpecahkan
• Bentuk modular
• Grup dasar
• Cohomology of a stack
• Algebraic stack
• Nonabelian cohomology
• Sheaf cohomology
• Sheaf on an algebraic stack
• Cohomology with compact support
• Behrend's trace formula
• Kähler differential
• Equivariant cohomology
• Gerbe