Density of Châtelet surfaces failing the Hasse principle

Density of Châtelet surfaces failing the Hasse principle

Châtelet surfaces provide a rich source of geometrically rational surfaces that do not always satisfy the Hasse principle. Restricting attention to a special class of Châtelet surfaces, we investigate the frequency that such counter-examples arise over the rational numbers.

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Veröffentlicht in:Proceedings of the London Mathematical Society 2014-04, Vol.108 (4), p.1030-1078
Hauptverfasser: Bretèche, R. de la, Browning, T. D.
Format: Artikel
Sprache:eng
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Zusammenfassung:Châtelet surfaces provide a rich source of geometrically rational surfaces that do not always satisfy the Hasse principle. Restricting attention to a special class of Châtelet surfaces, we investigate the frequency that such counter-examples arise over the rational numbers.
ISSN:0024-6115
1460-244X
DOI:10.1112/plms/pdt060