A positive proportion of Hasse principle failures in a family of Châtelet surfaces

DOI10.1142/S1793042119500684zbMath1435.14023arXiv1803.07017OpenAlexW3103208224MaRDI QIDQ5223032

Nick Rome

Publication date: 4 July 2019

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

Full work available at URL: https://arxiv.org/abs/1803.07017

zbMATH Keywords

Hasse principleBrauer-Manin obstructionChâtelet surfaces

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35) Cubic and quartic Diophantine equations (11D25) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Related Items (1)

Schinzel hypothesis on average and rational points

Cites Work

• Power-free values of polynomials on symmetric varieties
• Density of Châtelet surfaces failing the Hasse principle
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