Bounding the symbol length in the Galois cohomology of function fields of -adic curves

  • Venapally Suresh

    Emory University, Atlanta, USA

Abstract

Let be a function field of a -adic curve and a prime not equal to . Assume that contains a primitive th root of unity. We show that every element in the -torsion subgroup of the Brauer group of is a tensor product of two cyclic algebras over .

Cite this article

Venapally Suresh, Bounding the symbol length in the Galois cohomology of function fields of -adic curves. Comment. Math. Helv. 85 (2010), no. 2, pp. 337–346

DOI 10.4171/CMH/198