Integral Hasse Principle and Strong Approximation for Markoff Surfaces

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Daniel Loughran
  • Vladimir Mitankin

External Research Organisations

  • University of Bath
  • Max Planck Institute for Mathematics
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Details

Original languageEnglish
Pages (from-to)14086-14122
Number of pages37
JournalInternational Mathematics Research Notices
Volume2021
Issue number18
Early online date17 Feb 2020
Publication statusPublished - Sept 2021
Externally publishedYes

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.

ASJC Scopus subject areas

Cite this

Integral Hasse Principle and Strong Approximation for Markoff Surfaces. / Loughran, Daniel; Mitankin, Vladimir.
In: International Mathematics Research Notices, Vol. 2021, No. 18, 09.2021, p. 14086-14122.

Research output: Contribution to journalArticleResearchpeer review

Loughran D, Mitankin V. Integral Hasse Principle and Strong Approximation for Markoff Surfaces. International Mathematics Research Notices. 2021 Sept;2021(18):14086-14122. Epub 2020 Feb 17. doi: 10.1093/imrn/rnz114
Loughran, Daniel ; Mitankin, Vladimir. / Integral Hasse Principle and Strong Approximation for Markoff Surfaces. In: International Mathematics Research Notices. 2021 ; Vol. 2021, No. 18. pp. 14086-14122.
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