Imaginary point

Imaginary point

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:

: (a_1,a_2,...,a_n)

is imaginary if there exists no complex number z such that

: (za_1,za_2,...,za_n)

is real.

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

ee also

* Real point


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