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Châtelet surface
In algebraic geometry, a Châtelet surface is a rational surface studied by Châtelet (1959) given by an equation
\( y^2-az^2=P(x), \, \)
where P has degree 3 or 4. They are conic bundles.
References
Châtelet, F. (1959), "Points rationnels sur certaines courbes et surfaces cubiques", L'Enseignement Mathématique. Revue Internationale. IIe Série 5: 153–170, MR 0130218
Viray, Bianca (2009), The Hasse principle for Chatelet surfaces in characteristic 2, arXiv:0902.3644
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
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