Imaginary point
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A point (a,b,c) in the complex projective plane is called imaginary if there exists no complex number z so that (z.a,z.b,z.c) is real.
This definition can be widened to complex projective space and complex projective hyperspaces as follows:
- a point (a1,a2,...,an) is imaginary if there exists no complex number z so that (z.a1,z.a2,...,z.an) is real.
(Note (0,0,...,0) is not a point)
