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

Autor:	Mitankin, Vladimir, Uhlemann, Justin
Rok vydání:	2024
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry 14G05 14G12 11D25 11G35
Druh dokumentu:	Working Paper
Popis:	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. Comment: 28 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.02629 Zobrazit plný text záznamu View this record from Arxiv