Châtelet surface
Image:Chatelet [surface.png|thumb|right|300px|Some snapshots showing the real points of the Châtelet surface with P(x)=x^3-5*x^2-6*x. Axis: x=red, y=yellow, z=blue]
In algebraic geometry, a Châtelet surface is a rational surface studied by given by an equation
where P has degree 3 or 4. They are conic bundles.