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Châtelet surface

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 given by an equation

:y^2-az^2=P(x), ,

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

References

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algebraic-surfaces complex-surfaces
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