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math.NT2026
Remarks on Brauer-Manin obstruction for Weil restrictions
Sheng Chen, Kai Huang
Given a finite extension of number fields and a smooth quasi-projective variety over . If the abelianized fundamental group of is trivial, we prove that there is a…
math.NT2019
Integral points on twisted Markoff surfaces
Sheng Chen
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-tor…