Real point

A point "(a,b,c)" in the complex projective plane is called real if there exists a complex number z such that "za, zb" and "zc" are all real numbers.

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

:$(a\_1,a\_2,...,a\_n)$

is real if there exists a complex number z such that

:$(za\_1,\; za\_2,...,\; za\_n)$

is real.

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

ee also

* Imaginary point