Integral points on twisted Markoff surfaces

Published 15 Apr 2019 in math.NT and math.AG | (1904.06864v3)

Abstract: We study the integral Hasse principle for affine varieties of the form ax^{2+y^{2+z^2-xyz=m}} ,using Brauer-Manin obstruction, and we produce examples whose Brauer groups include 4-torsion elements .We will construct their explicit representatives and compute local invariants in special places.

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Sheng Chen

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