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Let $X$ be a proper smooth variety having an affine open subset defined bythe normic equation $N_{k(\sqrt{a},\sqrt{b})/k}({x})=Q(t_{1},...,t_{m})^{2}$over a number field $k$. We prove that : (1) the failure of the local-globalprinciple for zero-cycles is controlled by the Brauer group of $X$; (2) theanalogue for rational points is also valid assuming Schinzel's hypothesis.

Local-global principle for certain biquadratic normic bundles