CYCLIC LENGTH IN THE TAME BRAUER GROUP OF THE FUNCTION FIELD OF A p-ADIC CURVE
نویسنده
چکیده
Let F be the function field of a smooth curve over the p-adic number field Qp. We show that for each prime-to-p number n the n-torsion subgroup H(F, μn) = 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 [20]), and any F -division algebra of period n and index n is decomposable.
منابع مشابه
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