A Hasse principle for two dimensional global fields.

is known s the Hasse principle for central simple algebras over F. The aim of this paper is to give an analogous exact sequence and analogous Hasse principles for an algebraic function field K in one variable over F. However, we give neither an exact sequence including ET (K) nor a Hasse principle for Br(X). The exact sequence and the Hasse principles which we give in this paper, and which we think to be the best analogues of (0. 1) for X, are concerned with the Galois cohomology groups

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