Integral Hasse principle and strong approximation for Markoff surfaces

Daniel Loughran; Vladimir Mitankin

doi:10.1093/imrn/rnz114

Integral Hasse principle and strong approximation for Markoff surfaces

Daniel Loughran, Vladimir Mitankin

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

7 Citations (SciVal)

Abstract

We study the failure of the integral Hasse principle and strong approximation for Markoff surfaces, as studied by Ghosh and Sarnak, using the Brauer–Manin obstruction.

Original language	English
Pages (from-to)	14086–14122
Number of pages	37
Journal	International Mathematics Research Notices
Volume	2021
Issue number	18
Early online date	17 Feb 2020
DOIs	https://doi.org/10.1093/imrn/rnz114
Publication status	Published - 1 Sept 2021

ASJC Scopus subject areas

General Mathematics

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10.1093/imrn/rnz114

https://arxiv.org/abs/1807.10223

Cite this

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Integral Hasse principle and strong approximation for Markoff surfaces

Abstract

ASJC Scopus subject areas

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Quantitative arithmetic geometry

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Integral Hasse principle and strong approximation for Markoff surfaces

Abstract

ASJC Scopus subject areas

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Fingerprint

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Quantitative arithmetic geometry

Cite this