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Originalsprache | Englisch |
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Publikationsstatus | Elektronisch veröffentlicht (E-Pub) - 4 Nov. 2024 |
Abstract
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2024.
Publikation: Arbeitspapier/Preprint › Preprint
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TY - UNPB
T1 - Local-global principles for semi-integral points on Markoff orbifold pairs
AU - Mitankin, Vladimir
AU - Uhlemann, Justin
N1 - 28 pages
PY - 2024/11/4
Y1 - 2024/11/4
N2 - 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.
AB - 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.
KW - math.NT
KW - math.AG
KW - 14G05, 14G12, 11D25, 11G35
M3 - Preprint
BT - Local-global principles for semi-integral points on Markoff orbifold pairs
ER -