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:

    By “object” is meant some element in the complex whole that is defined in abstraction from the whole of which it is a distinction.
    John Dewey (1859–1952)

    Have you ever been up in your plane at night, alone, somewhere, 20,000 feet above the ocean?... Did you ever hear music up there?... It’s the music a man’s spirit sings to his heart, when the earth’s far away and there isn’t any more fear. It’s the high, fine, beautiful sound of an earth-bound creature who grew wings and flew up high and looked straight into the face of the future. And caught, just for an instant, the unbelievable vision of a free man in a free world.
    Dalton Trumbo (1905–1976)