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- W2110903045 abstract "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 $H^2(F,mu_n)={}_nBr(F)$ is generated by $Z/n$-cyclic classes; in fact the $Z/n$-length is equal to two. It follows that the Brauer dimension of $F$ is two (first proved in cite{Sa97}), and any $F$-division algebra of period $n$ and index $n^2$ is decomposable." @default.
- W2110903045 created "2016-06-24" @default.
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- W2110903045 date "2013-07-12" @default.
- W2110903045 modified "2023-09-27" @default.
- W2110903045 title "Cyclic Length in the Tame Brauer Group of the Function Field of a p-Adic Curve" @default.
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