Singular Cubic Surfaces
An example of a singular cubic is Cayley's nodal cubic surface
with 4 nodal singular points at and its permutations. Singular cubic surfaces also contain rational lines, and the number and arrangement of the lines is related to the type of the singularity.
The singular cubic surfaces were classified by Schlafli (1863), and his classification was described by Cayley (1869) and Bruce & Wall (1979)
Read more about this topic: Cubic Surface
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