Real point

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A point (a,b,c) in the complex projective plane is called real if there exists a complex number z so that z.a, z.b and z.c are real numbers.

This definition can be widened to complex projective space and complex projective hyperspaces as follows:

a point (a1,a2,...,an) is real if there exist a complex number z so that z.a1,z.a2,...,z.an) are real.

(Note (0,0,...,0) is not a point)

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