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Integral points on twisted Markoff surfaces

2019/04/15 by Chen, Sheng
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1904.06864

Abstract

We study the integral Hasse principle for affine varieties of the form ax2+y2+z2-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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