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Cayley's nodal cubic surface

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Cayley's nodal cubic surface

In algebraic geometry, the Cayley surface, named after Arthur Cayley, is a cubic nodal surface in 3-dimensional projective space with four conical points. It can be given by the equation

w x y + x y z + y z w + z w x = 0  

when the four singular points are those with three vanishing coordinates. Changing variables gives several other simple equations defining the Cayley surface.

References

Cayley's nodal cubic surface Wikipedia


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