Abstract

S. Lichtenbaum has proved in [L1] that there is a nondegenerate pairing
Pic(C)x Br(C)->Br(K) =Q/Z (1)
between the Picard group and the Brauer group of a nonsingular projective curve C over a p-adic field K (a finite extension of the p-adic numbers Qp). His proof consists of a reduction via explicit cocycle
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