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- W2982973209 abstract "Abstract Let $S$ be a scheme and let $pi : mathcal{G} to S$ be a ${mathbb{G}}_{m,S}$-gerbe corresponding to a torsion class $[mathcal{G}]$ in the cohomological Brauer group ${operatorname{Br}}^{prime}(S)$ of $S$. We show that the cohomological Brauer group ${operatorname{Br}}^{prime}(mathcal{G})$ of $mathcal{G}$ is isomorphic to the quotient of ${operatorname{Br}}^{prime}(S)$ by the subgroup generated by the class $[mathcal{G}]$. This is analogous to a theorem proved by Gabber for Brauer–Severi schemes." @default.
- W2982973209 created "2019-11-22" @default.
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- W2982973209 date "2019-11-04" @default.
- W2982973209 modified "2023-10-13" @default.
- W2982973209 title "The Cohomological Brauer Group of a Torsion 𝔾<i>m</i>-Gerbe" @default.
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- W2982973209 doi "https://doi.org/10.1093/imrn/rnz235" @default.
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