A natural continuous perfect pairing Br_1(X) × H_0(X,ℤ)_τ^∧ → ℚ/ℤ holds for proper geometrically integral varieties X over p-adic fields k.
Rudolf Beyl
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Lichtenbaum-van Hamel duality for singular varieties over $p$-adic fields
A natural continuous perfect pairing Br_1(X) × H_0(X,ℤ)_τ^∧ → ℚ/ℤ holds for proper geometrically integral varieties X over p-adic fields k.