Cohomological invariants of algebraic stacks
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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.References
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Additional Information
- Roberto Pirisi
- Affiliation: Department of Mathematics and Statistics, University of Ottawa, King Edward Street, K1N6N5, Ottawa, Canada
- Address at time of publication: Department of Mathematics, University of British Columbia, 1984 Mathematics Road, V6T 1Z2, British Columbia, Canada
- Email: rpirisi@math.ubc.ca
- Received by editor(s): March 14, 2016
- Received by editor(s) in revised form: June 12, 2016, and June 22, 2016
- Published electronically: November 22, 2017
- © Copyright 2017 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 370 (2018), 1885-1906
- MSC (2010): Primary 14D23, 14F20
- DOI: https://doi.org/10.1090/tran/7006
- MathSciNet review: 3739195