Cohomological invariants of algebraic stacks

Pirisi, Roberto

doi:10.1090/tran/7006

Cohomological invariants of algebraic stacks
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Trans. Amer. Math. Soc. 370 (2018), 1885-1906 Request permission

Abstract:

The purpose of this paper is to lay the foundations of a theory of invariants in étale cohomology for smooth Artin stacks. We compute the invariants in the case of the stack of elliptic curves, and we use the theory we developed to get some results regarding Brauer groups of algebraic spaces.

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