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On the character group and Brauer group of rational function field over a pseudoglobal field.
Authors: Andriychuk V., Stakhiv L.
Abstract
We consider the character group and the Brauer group of a rational function field K(t1, ..., tn) over an algebraic function field K in one variable with pseudofinite constant field k. We show that the Ulm invariants of these groups can be determined in the same way as in the case of rational function field over global field. In the constant field k is a pseudofinite field contained in an algebraic closure of a field finitely generated over its prime subfield, we prove that the Brauer group of K(t1, ..., tn) is independent of n.Contents
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