Abstract

We study the integral Hasse principle for affine varieties of the shapeax2+y2+z2−xyz=m, using the Brauer–Manin obstruction, and we produce examples whose Brauer groups include 4-torsion elements. We describe these elements explicitly, and in some cases, we show that there is no Brauer–Manin obstruction to the integral Hasse principle for them.

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