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arxiv: 1904.06864 · v3 · pith:6EXSKF4Knew · submitted 2019-04-15 · 🧮 math.NT · math.AG

Integral points on twisted Markoff surfaces

classification 🧮 math.NT math.AG
keywords integralaffinebrauerbrauer-manincomputeconstructelementsexamples
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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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