Cohomological invariants of algebraic stacks
arXiv:1412.0554
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.
arXiv commentfinal version