Local-global principles for semi-integral points on Markoff orbifold pairs
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911732419526656 |
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| author | Mitankin, Vladimir Uhlemann, Justin |
| author_facet | Mitankin, Vladimir Uhlemann, Justin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02629 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local-global principles for semi-integral points on Markoff orbifold pairs Mitankin, Vladimir Uhlemann, Justin Number Theory Algebraic Geometry 14G05, 14G12, 11D25 (primary), 11G35 (secondary) 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. |
| title | Local-global principles for semi-integral points on Markoff orbifold pairs |
| topic | Number Theory Algebraic Geometry 14G05, 14G12, 11D25 (primary), 11G35 (secondary) |
| url | https://arxiv.org/abs/2411.02629 |