Brauer–Manin obstruction and families of generalised Châtelet surfaces over number fields

DOI10.1142/S179304211950012XzbMath1408.14084OpenAlexW2888555561MaRDI QIDQ4628661

Francesca Balestrieri

Publication date: 15 March 2019

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

Full work available at URL: https://doi.org/10.1142/s179304211950012x

zbMATH Keywords

Brauer-Manin obstructionnumber fieldpositive proportiongeneralized Châtelet surface

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Rational points (14G05)

Uses Software

• Magma

Cites Work

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• Higher-dimensional analogs of Châtelet surfaces
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• Sur certaines hypothèses concernant les nombres premiers
• Reducible Polynomials
• Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties.
• A Lifting Formula for the Hilbert Symbol
• Die Seltenheit der reduziblen Gleichungen und der Gleichungen mit Affekt

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