Integral Hasse Principle and Strong Approximation for Markoff Surfaces

DOI10.1093/imrn/rnz114zbMath1485.11106arXiv1807.10223OpenAlexW4297074911WikidataQ127900455 ScholiaQ127900455MaRDI QIDQ5021486

Vladimir Mitankin, Daniel Loughran

Publication date: 13 January 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10223

zbMATH Keywords

Hasse principleMarkoff surfaceweak and strong approximation

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25) Varieties over finite and local fields (11G25) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Related Items (7)

Integral points on Markoff type cubic surfaces ⋮ Rational points on Del Pezzo surfaces of degree four ⋮ Order \(5\) Brauer-Manin obstructions to the integral Hasse principle on log \(K3\) surfaces ⋮ Brauer-Manin obstruction for integral points on Markoff-type cubic surfaces ⋮ Arithmetic and dynamics on varieties of Markoff type ⋮ Integral points on twisted Markoff surfaces ⋮ Brauer–Manin obstruction for Erdős–Straus surfaces

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