Integral points on affine quadric surfaces

DOI10.5802/jtnb.1196zbMath1502.11075arXiv2010.11763OpenAlexW3094621206WikidataQ114013334 ScholiaQ114013334MaRDI QIDQ2155599

Tim Santens

Publication date: 15 July 2022

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.11763

zbMATH Keywords

Brauer-Manin obstructionquadric surfaceintegral point

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Rational points (14G05) Varieties over global fields (11G35) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Cites Work

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• Ternary quadratic forms with rational zeros
• On the Phragmén-Lindelöf theorem and some applications
• Darstellungsmaße indefiniter quadratischer Formen
• Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms
• Multiplicative Arithmetic Functions of Several Variables: A Survey
• Failures of the integral Hasse principle for affine quadric surfaces

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