Publication details

Local-global principles for semi-integral points on Markoff orbifold pairs

Authored by

Vladimir Mitankin, Justin Uhlemann

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.

Details

Organisation(s)
Institute of Algebra, Number Theory and Discrete Mathematics
External Organisation(s)
Utrecht University
Type
Article
Journal
Journal of the London Mathematical Society
Volume
112
ISSN
0024-6107
Publication date
18.12.2025
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
General Mathematics
Electronic version(s)
https://doi.org/10.1112/jlms.70363 (Access: Closed )
https://doi.org/10.48550/arXiv.2411.02629 (Access: Open )
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