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arxiv: 1412.0554 · v3 · pith:O2XQ2X5Knew · submitted 2014-11-26 · 🧮 math.AG

Cohomological invariants of algebraic stacks

classification 🧮 math.AG
keywords invariantsalgebraicstackstheoryartinbrauercasecohomological
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The purpose of this paper is to lay the foundations of a theory of invariants in \'etale 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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