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.

Cohomological invariants of algebraic stacks / Pirisi, R.. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 370:3(2018), pp. 1885-1906. [10.1090/tran/7006]

Cohomological invariants of algebraic stacks

Pirisi R.
Primo
2018

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.
2018
Algebraic stack; Cohomological invariant
01 Pubblicazione su rivista::01a Articolo in rivista
Cohomological invariants of algebraic stacks / Pirisi, R.. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 370:3(2018), pp. 1885-1906. [10.1090/tran/7006]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1471227
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