Brauer-Manin obstruction for integral points on Markoff-type cubic surfaces

DOI10.1016/j.jnt.2023.07.007arXiv2202.07142OpenAlexW4386074785MaRDI QIDQ6048602

Quang-Duc Dao

Publication date: 11 October 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.07142

zbMATH Keywords

strong approximationHasse principleBrauer groupBrauer-Manin obstructionintegral pointMarkoff-type cubic surface

Mathematics Subject Classification ID

Varieties over global fields (11G35) Cubic and quartic Diophantine equations (11D25) Brauer groups of schemes (14F22) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Cites Work

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• Groupe de Brauer et points entiers de deux familles de surfaces cubiques affines
• Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms
• UNIRATIONALITY OF CUBIC HYPERSURFACES
• Class Field Theory
• Brauer-Manin obstruction for Markoff surfaces
• The Brauer–Grothendieck Group
• Integral Hasse Principle and Strong Approximation for Markoff Surfaces
• Central Simple Algebras and Galois Cohomology
• SAGE

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