English

Integral Hasse principle and strong approximation for Markoff surfaces

Number Theory 2025-11-25 v3 Algebraic Geometry

Abstract

We study the failure of the integral Hasse principle and strong approximation for Markoff surfaces, as studied by Ghosh and Sarnak, using the Brauer-Manin obstruction.

Keywords

Cite

@article{arxiv.1807.10223,
  title  = {Integral Hasse principle and strong approximation for Markoff surfaces},
  author = {Daniel Loughran and Vladimir Mitankin},
  journal= {arXiv preprint arXiv:1807.10223},
  year   = {2025}
}

Comments

28 pages

R2 v1 2026-06-23T03:15:39.364Z