English

Integral points on twisted Markoff surfaces

Number Theory 2019-07-02 v3 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1904.06864,
  title  = {Integral points on twisted Markoff surfaces},
  author = {Sheng Chen},
  journal= {arXiv preprint arXiv:1904.06864},
  year   = {2019}
}

Comments

minor corrections

R2 v1 2026-06-23T08:39:24.496Z