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Created page with "== Introduction == The Cayley surface or Cayley's nodal cubic surface, named after Arthur Cayley, is a projective algebraic surface in three-dimensional projective space. It is one of the earliest examples of a surface with singularities, and its study has led to significant developments in algebraic geometry. == Definition == The Cayley surface can be defined as the zero locus of a homogeneous polynomial of degree four in four variables, known as the Cayley qua..."