Local-global principles for semi-integral points on Markoff orbifold pairs
Number Theory
2025-11-07 v3 Algebraic Geometry
Abstract
We study local-global principles for semi-integral points on orbifold pairs of Markoff type. In particular, we analyse when these orbifold pairs satisfy weak weak approximation, weak approximation and strong approximation off a finite set of places. We show that Markoff orbifold pairs satisfy the semi-integral Hasse principle and we measure how often such orbifold pairs have strict semi-integral points but the corresponding Markoff surface lacks integral points.
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Cite
@article{arxiv.2411.02629,
title = {Local-global principles for semi-integral points on Markoff orbifold pairs},
author = {Vladimir Mitankin and Justin Uhlemann},
journal= {arXiv preprint arXiv:2411.02629},
year = {2025}
}
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28 pages