Imaginary point

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A point (a,b,c) in the complex projective plane is called an imaginary point if there exists no complex number z such that za, zb and zc are real.

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

(a₁,a₂,...,a_n)

is imaginary if there exists no complex number z such that

(za₁,za₂,...,za_n)

is real.

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

[edit] See also

• Real point