Châtelet surface

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 Template:Harvs given by an equation

$y^2-a{z}^2=P(x),$

where P has degree 3 or 4. They are conic bundles.

References

• Template:Citation
• Template:Citation