Complex Projective Plane

In mathematics, the complex projective plane, usually denoted P2(C), is the two-dimensional complex projective space. It is a complex manifold described by three complex coordinates

where, however, the triples differing by an overall rescaling are identified:

That is, these are homogeneous coordinates in the traditional sense of projective geometry.

Read more about Complex Projective Plane:  Topology, Algebraic Geometry, Differential Geometry

Famous quotes containing the words complex and/or plane:

    When distant and unfamiliar and complex things are communicated to great masses of people, the truth suffers a considerable and often a radical distortion. The complex is made over into the simple, the hypothetical into the dogmatic, and the relative into an absolute.
    Walter Lippmann (1889–1974)

    At the moment when a man openly makes known his difference of opinion from a well-known party leader, the whole world thinks that he must be angry with the latter. Sometimes, however, he is just on the point of ceasing to be angry with him. He ventures to put himself on the same plane as his opponent, and is free from the tortures of suppressed envy.
    Friedrich Nietzsche (1844–1900)