Cyclic Length in the Tame Brauer Group of the Function Field of a p-Adic Curve

Eric Brussel, Kelly McKinnie, Eduardo Tengan

Let $F$ be the function field of a smooth curve over the $p$-adic number field $\Q_p$. We show that for each prime-to-$p$ number $n$ the $n$-torsion subgroup $\H^2(F,μ_n)={}_n\Br(F…