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Complex Projective Plane

The complex projective plane is the set of all equivalence classes of ordered triples $(a,b,c) in C^3\(0,0,0)$ under the equivalence relation if for some nonzero complex number .

Kühnel's nine-vertex triangulation has face vector and contains every possible edge and triangle. It is a tight triangulation over every field (Kühnel and Lutz 2000).

See also

Neighborly Triangulation, Projective Plane, Real Projective Plane, Tight Triangulation

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References

Kühnel, W. and Lutz, F. H. "A Census of Tight Triangulations." Period. Math. Hungar. 39, 161-183, 2000. https://doi.org/10.1023/A:1004807427002.

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Complex Projective Plane

Cite this as:

Weisstein, Eric W. "Complex Projective Plane." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ComplexProjectivePlane.html

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