The cohomological Brauer group of a torsion ${\mathbb{G}}_m$-gerbe

Minseon Shin

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 $\mathrm{Br}'(S)…